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Finding the Fourth Proportional to 390.71, 586.00 and 130.71

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Solution

The fourth proportional to 390.71, 586.00 and 130.71 is: 196.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.71 : 586.00 = 130.71 : x
  2. Step 2: Convert to fraction form
    390.71/586.00 = 130.71/x
  3. Step 3: Cross multiply
    390.71x = 586.00 × 130.71
  4. Step 4: Simplify right side
    390.71x = 76,594.03
  5. Step 5: Solve for x
    x = 76,594.03/390.71
  6. Step 6: Final answer
    x = 196.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.