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Finding the Fourth Proportional to 636.66, 878.54 and 470.98

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Solution

The fourth proportional to 636.66, 878.54 and 470.98 is: 649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.66 : 878.54 = 470.98 : x
  2. Step 2: Convert to fraction form
    636.66/878.54 = 470.98/x
  3. Step 3: Cross multiply
    636.66x = 878.54 × 470.98
  4. Step 4: Simplify right side
    636.66x = 413,774.77
  5. Step 5: Solve for x
    x = 413,774.77/636.66
  6. Step 6: Final answer
    x = 649.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.