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Finding the Fourth Proportional to 318.14, 476.24 and 287.15

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Solution

The fourth proportional to 318.14, 476.24 and 287.15 is: 429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.14 : 476.24 = 287.15 : x
  2. Step 2: Convert to fraction form
    318.14/476.24 = 287.15/x
  3. Step 3: Cross multiply
    318.14x = 476.24 × 287.15
  4. Step 4: Simplify right side
    318.14x = 136,752.32
  5. Step 5: Solve for x
    x = 136,752.32/318.14
  6. Step 6: Final answer
    x = 429.85

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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.