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Finding the Fourth Proportional to 944.51, 1,416.20 and 286.18

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Solution

The fourth proportional to 944.51, 1,416.20 and 286.18 is: 429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.51 : 1,416.20 = 286.18 : x
  2. Step 2: Convert to fraction form
    944.51/1,416.20 = 286.18/x
  3. Step 3: Cross multiply
    944.51x = 1,416.20 × 286.18
  4. Step 4: Simplify right side
    944.51x = 405,290.07
  5. Step 5: Solve for x
    x = 405,290.07/944.51
  6. Step 6: Final answer
    x = 429.10

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.