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Finding the Fourth Proportional to 390.02, 584.61 and 207.23

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Solution

The fourth proportional to 390.02, 584.61 and 207.23 is: 310.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.02 : 584.61 = 207.23 : x
  2. Step 2: Convert to fraction form
    390.02/584.61 = 207.23/x
  3. Step 3: Cross multiply
    390.02x = 584.61 × 207.23
  4. Step 4: Simplify right side
    390.02x = 121,148.73
  5. Step 5: Solve for x
    x = 121,148.73/390.02
  6. Step 6: Final answer
    x = 310.62

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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.