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Finding the Fourth Proportional to 616.32, 850.54 and 468.70

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Solution

The fourth proportional to 616.32, 850.54 and 468.70 is: 646.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.32 : 850.54 = 468.70 : x
  2. Step 2: Convert to fraction form
    616.32/850.54 = 468.70/x
  3. Step 3: Cross multiply
    616.32x = 850.54 × 468.70
  4. Step 4: Simplify right side
    616.32x = 398,648.10
  5. Step 5: Solve for x
    x = 398,648.10/616.32
  6. Step 6: Final answer
    x = 646.82

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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.