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Finding the Fourth Proportional to 390.43, 585.27 and 207.71

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Solution

The fourth proportional to 390.43, 585.27 and 207.71 is: 311.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.43 : 585.27 = 207.71 : x
  2. Step 2: Convert to fraction form
    390.43/585.27 = 207.71/x
  3. Step 3: Cross multiply
    390.43x = 585.27 × 207.71
  4. Step 4: Simplify right side
    390.43x = 121,563.51
  5. Step 5: Solve for x
    x = 121,563.51/390.43
  6. Step 6: Final answer
    x = 311.36

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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.