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Finding the Fourth Proportional to 614.53, 847.65 and 393.13

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Solution

The fourth proportional to 614.53, 847.65 and 393.13 is: 542.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.53 : 847.65 = 393.13 : x
  2. Step 2: Convert to fraction form
    614.53/847.65 = 393.13/x
  3. Step 3: Cross multiply
    614.53x = 847.65 × 393.13
  4. Step 4: Simplify right side
    614.53x = 333,236.64
  5. Step 5: Solve for x
    x = 333,236.64/614.53
  6. Step 6: Final answer
    x = 542.26

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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.