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Finding the Fourth Proportional to 617.38, 851.78 and 368.76

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Solution

The fourth proportional to 617.38, 851.78 and 368.76 is: 508.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.38 : 851.78 = 368.76 : x
  2. Step 2: Convert to fraction form
    617.38/851.78 = 368.76/x
  3. Step 3: Cross multiply
    617.38x = 851.78 × 368.76
  4. Step 4: Simplify right side
    617.38x = 314,102.39
  5. Step 5: Solve for x
    x = 314,102.39/617.38
  6. Step 6: Final answer
    x = 508.77

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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.