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Finding the Fourth Proportional to 616.46, 849.51 and 459.27

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Solution

The fourth proportional to 616.46, 849.51 and 459.27 is: 632.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.46 : 849.51 = 459.27 : x
  2. Step 2: Convert to fraction form
    616.46/849.51 = 459.27/x
  3. Step 3: Cross multiply
    616.46x = 849.51 × 459.27
  4. Step 4: Simplify right side
    616.46x = 390,155.75
  5. Step 5: Solve for x
    x = 390,155.75/616.46
  6. Step 6: Final answer
    x = 632.90

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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.