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Finding the Fourth Proportional to 616.87, 851.34 and 368.27

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Solution

The fourth proportional to 616.87, 851.34 and 368.27 is: 508.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.87 : 851.34 = 368.27 : x
  2. Step 2: Convert to fraction form
    616.87/851.34 = 368.27/x
  3. Step 3: Cross multiply
    616.87x = 851.34 × 368.27
  4. Step 4: Simplify right side
    616.87x = 313,522.98
  5. Step 5: Solve for x
    x = 313,522.98/616.87
  6. Step 6: Final answer
    x = 508.25

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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.