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Finding the Fourth Proportional to 390.67, 585.53 and 207.79

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Solution

The fourth proportional to 390.67, 585.53 and 207.79 is: 311.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.67 : 585.53 = 207.79 : x
  2. Step 2: Convert to fraction form
    390.67/585.53 = 207.79/x
  3. Step 3: Cross multiply
    390.67x = 585.53 × 207.79
  4. Step 4: Simplify right side
    390.67x = 121,666.24
  5. Step 5: Solve for x
    x = 121,666.24/390.67
  6. Step 6: Final answer
    x = 311.43

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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.