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Finding the Fourth Proportional to 616.42, 849.75 and 468.79

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Solution

The fourth proportional to 616.42, 849.75 and 468.79 is: 646.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.42 : 849.75 = 468.79 : x
  2. Step 2: Convert to fraction form
    616.42/849.75 = 468.79/x
  3. Step 3: Cross multiply
    616.42x = 849.75 × 468.79
  4. Step 4: Simplify right side
    616.42x = 398,354.30
  5. Step 5: Solve for x
    x = 398,354.30/616.42
  6. Step 6: Final answer
    x = 646.24

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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.