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Finding the Fourth Proportional to 531.10, 732.69 and 365.53

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Solution

The fourth proportional to 531.10, 732.69 and 365.53 is: 504.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.10 : 732.69 = 365.53 : x
  2. Step 2: Convert to fraction form
    531.10/732.69 = 365.53/x
  3. Step 3: Cross multiply
    531.10x = 732.69 × 365.53
  4. Step 4: Simplify right side
    531.10x = 267,820.18
  5. Step 5: Solve for x
    x = 267,820.18/531.10
  6. Step 6: Final answer
    x = 504.27

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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.