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Finding the Fourth Proportional to 562.16, 775.76 and 329.24

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Solution

The fourth proportional to 562.16, 775.76 and 329.24 is: 454.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.16 : 775.76 = 329.24 : x
  2. Step 2: Convert to fraction form
    562.16/775.76 = 329.24/x
  3. Step 3: Cross multiply
    562.16x = 775.76 × 329.24
  4. Step 4: Simplify right side
    562.16x = 255,411.22
  5. Step 5: Solve for x
    x = 255,411.22/562.16
  6. Step 6: Final answer
    x = 454.34

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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.