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Finding the Fourth Proportional to 357.13, 534.68 and 337.31

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Solution

The fourth proportional to 357.13, 534.68 and 337.31 is: 505.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.13 : 534.68 = 337.31 : x
  2. Step 2: Convert to fraction form
    357.13/534.68 = 337.31/x
  3. Step 3: Cross multiply
    357.13x = 534.68 × 337.31
  4. Step 4: Simplify right side
    357.13x = 180,353.88
  5. Step 5: Solve for x
    x = 180,353.88/357.13
  6. Step 6: Final answer
    x = 505.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.