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Finding the Fourth Proportional to 529.68, 731.30 and 361.83

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Solution

The fourth proportional to 529.68, 731.30 and 361.83 is: 499.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.68 : 731.30 = 361.83 : x
  2. Step 2: Convert to fraction form
    529.68/731.30 = 361.83/x
  3. Step 3: Cross multiply
    529.68x = 731.30 × 361.83
  4. Step 4: Simplify right side
    529.68x = 264,607.21
  5. Step 5: Solve for x
    x = 264,607.21/529.68
  6. Step 6: Final answer
    x = 499.56

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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.