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Finding the Fourth Proportional to 391.52, 586.66 and 288.65

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Solution

The fourth proportional to 391.52, 586.66 and 288.65 is: 432.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.52 : 586.66 = 288.65 : x
  2. Step 2: Convert to fraction form
    391.52/586.66 = 288.65/x
  3. Step 3: Cross multiply
    391.52x = 586.66 × 288.65
  4. Step 4: Simplify right side
    391.52x = 169,339.41
  5. Step 5: Solve for x
    x = 169,339.41/391.52
  6. Step 6: Final answer
    x = 432.52

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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.