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Finding the Fourth Proportional to 318.60, 476.82 and 314.28

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Solution

The fourth proportional to 318.60, 476.82 and 314.28 is: 470.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.60 : 476.82 = 314.28 : x
  2. Step 2: Convert to fraction form
    318.60/476.82 = 314.28/x
  3. Step 3: Cross multiply
    318.60x = 476.82 × 314.28
  4. Step 4: Simplify right side
    318.60x = 149,854.99
  5. Step 5: Solve for x
    x = 149,854.99/318.60
  6. Step 6: Final answer
    x = 470.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.