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Finding the Fourth Proportional to 651.51, 977.10 and 286.23

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Solution

The fourth proportional to 651.51, 977.10 and 286.23 is: 429.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.51 : 977.10 = 286.23 : x
  2. Step 2: Convert to fraction form
    651.51/977.10 = 286.23/x
  3. Step 3: Cross multiply
    651.51x = 977.10 × 286.23
  4. Step 4: Simplify right side
    651.51x = 279,675.33
  5. Step 5: Solve for x
    x = 279,675.33/651.51
  6. Step 6: Final answer
    x = 429.27

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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.