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Finding the Fourth Proportional to 720.54, 994.31 and 441.24

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Solution

The fourth proportional to 720.54, 994.31 and 441.24 is: 608.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.54 : 994.31 = 441.24 : x
  2. Step 2: Convert to fraction form
    720.54/994.31 = 441.24/x
  3. Step 3: Cross multiply
    720.54x = 994.31 × 441.24
  4. Step 4: Simplify right side
    720.54x = 438,727.14
  5. Step 5: Solve for x
    x = 438,727.14/720.54
  6. Step 6: Final answer
    x = 608.89

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.