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Finding the Fourth Proportional to 691.72, 954.24 and 459.04

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Solution

The fourth proportional to 691.72, 954.24 and 459.04 is: 633.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.72 : 954.24 = 459.04 : x
  2. Step 2: Convert to fraction form
    691.72/954.24 = 459.04/x
  3. Step 3: Cross multiply
    691.72x = 954.24 × 459.04
  4. Step 4: Simplify right side
    691.72x = 438,034.33
  5. Step 5: Solve for x
    x = 438,034.33/691.72
  6. Step 6: Final answer
    x = 633.25

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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.