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Finding the Fourth Proportional to 391.49, 585.95 and 288.72

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Solution

The fourth proportional to 391.49, 585.95 and 288.72 is: 432.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.49 : 585.95 = 288.72 : x
  2. Step 2: Convert to fraction form
    391.49/585.95 = 288.72/x
  3. Step 3: Cross multiply
    391.49x = 585.95 × 288.72
  4. Step 4: Simplify right side
    391.49x = 169,174.04
  5. Step 5: Solve for x
    x = 169,174.04/391.49
  6. Step 6: Final answer
    x = 432.13

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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.