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Finding the Fourth Proportional to 616.08, 849.62 and 459.10

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Solution

The fourth proportional to 616.08, 849.62 and 459.10 is: 633.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.08 : 849.62 = 459.10 : x
  2. Step 2: Convert to fraction form
    616.08/849.62 = 459.10/x
  3. Step 3: Cross multiply
    616.08x = 849.62 × 459.10
  4. Step 4: Simplify right side
    616.08x = 390,060.54
  5. Step 5: Solve for x
    x = 390,060.54/616.08
  6. Step 6: Final answer
    x = 633.13

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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.