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Finding the Fourth Proportional to 390.57, 585.49 and 146.93

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Solution

The fourth proportional to 390.57, 585.49 and 146.93 is: 220.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.57 : 585.49 = 146.93 : x
  2. Step 2: Convert to fraction form
    390.57/585.49 = 146.93/x
  3. Step 3: Cross multiply
    390.57x = 585.49 × 146.93
  4. Step 4: Simplify right side
    390.57x = 86,022.75
  5. Step 5: Solve for x
    x = 86,022.75/390.57
  6. Step 6: Final answer
    x = 220.25

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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.