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Finding the Fourth Proportional to 390.57, 585.61 and 147.12

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Solution

The fourth proportional to 390.57, 585.61 and 147.12 is: 220.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.57 : 585.61 = 147.12 : x
  2. Step 2: Convert to fraction form
    390.57/585.61 = 147.12/x
  3. Step 3: Cross multiply
    390.57x = 585.61 × 147.12
  4. Step 4: Simplify right side
    390.57x = 86,153.21
  5. Step 5: Solve for x
    x = 86,153.21/390.57
  6. Step 6: Final answer
    x = 220.58

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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.