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Finding the Fourth Proportional to 614.55, 849.18 and 457.83

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Solution

The fourth proportional to 614.55, 849.18 and 457.83 is: 632.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.55 : 849.18 = 457.83 : x
  2. Step 2: Convert to fraction form
    614.55/849.18 = 457.83/x
  3. Step 3: Cross multiply
    614.55x = 849.18 × 457.83
  4. Step 4: Simplify right side
    614.55x = 388,780.08
  5. Step 5: Solve for x
    x = 388,780.08/614.55
  6. Step 6: Final answer
    x = 632.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.