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Finding the Fourth Proportional to 390.87, 586.02 and 159.81

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Solution

The fourth proportional to 390.87, 586.02 and 159.81 is: 239.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.87 : 586.02 = 159.81 : x
  2. Step 2: Convert to fraction form
    390.87/586.02 = 159.81/x
  3. Step 3: Cross multiply
    390.87x = 586.02 × 159.81
  4. Step 4: Simplify right side
    390.87x = 93,651.86
  5. Step 5: Solve for x
    x = 93,651.86/390.87
  6. Step 6: Final answer
    x = 239.60

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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.