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Finding the Fourth Proportional to 616.62, 851.10 and 368.11

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Solution

The fourth proportional to 616.62, 851.10 and 368.11 is: 508.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.62 : 851.10 = 368.11 : x
  2. Step 2: Convert to fraction form
    616.62/851.10 = 368.11/x
  3. Step 3: Cross multiply
    616.62x = 851.10 × 368.11
  4. Step 4: Simplify right side
    616.62x = 313,298.42
  5. Step 5: Solve for x
    x = 313,298.42/616.62
  6. Step 6: Final answer
    x = 508.09

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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.