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Finding the Fourth Proportional to 531.34, 732.66 and 448.30

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Solution

The fourth proportional to 531.34, 732.66 and 448.30 is: 618.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.34 : 732.66 = 448.30 : x
  2. Step 2: Convert to fraction form
    531.34/732.66 = 448.30/x
  3. Step 3: Cross multiply
    531.34x = 732.66 × 448.30
  4. Step 4: Simplify right side
    531.34x = 328,451.48
  5. Step 5: Solve for x
    x = 328,451.48/531.34
  6. Step 6: Final answer
    x = 618.16

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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.