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Finding the Fourth Proportional to 622.24, 932.16 and 469.16

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Solution

The fourth proportional to 622.24, 932.16 and 469.16 is: 702.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.24 : 932.16 = 469.16 : x
  2. Step 2: Convert to fraction form
    622.24/932.16 = 469.16/x
  3. Step 3: Cross multiply
    622.24x = 932.16 × 469.16
  4. Step 4: Simplify right side
    622.24x = 437,332.19
  5. Step 5: Solve for x
    x = 437,332.19/622.24
  6. Step 6: Final answer
    x = 702.84

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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.