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Finding the Fourth Proportional to 529.97, 731.59 and 496.76

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Solution

The fourth proportional to 529.97, 731.59 and 496.76 is: 685.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.97 : 731.59 = 496.76 : x
  2. Step 2: Convert to fraction form
    529.97/731.59 = 496.76/x
  3. Step 3: Cross multiply
    529.97x = 731.59 × 496.76
  4. Step 4: Simplify right side
    529.97x = 363,420.34
  5. Step 5: Solve for x
    x = 363,420.34/529.97
  6. Step 6: Final answer
    x = 685.74

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