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Finding the Fourth Proportional to 529.76, 731.30 and 411.77

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Solution

The fourth proportional to 529.76, 731.30 and 411.77 is: 568.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.76 : 731.30 = 411.77 : x
  2. Step 2: Convert to fraction form
    529.76/731.30 = 411.77/x
  3. Step 3: Cross multiply
    529.76x = 731.30 × 411.77
  4. Step 4: Simplify right side
    529.76x = 301,127.17
  5. Step 5: Solve for x
    x = 301,127.17/529.76
  6. Step 6: Final answer
    x = 568.42

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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.