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Finding the Fourth Proportional to 614.67, 849.33 and 457.53

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Solution

The fourth proportional to 614.67, 849.33 and 457.53 is: 632.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.67 : 849.33 = 457.53 : x
  2. Step 2: Convert to fraction form
    614.67/849.33 = 457.53/x
  3. Step 3: Cross multiply
    614.67x = 849.33 × 457.53
  4. Step 4: Simplify right side
    614.67x = 388,593.95
  5. Step 5: Solve for x
    x = 388,593.95/614.67
  6. Step 6: Final answer
    x = 632.20

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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.