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Finding the Fourth Proportional to 391.86, 586.50 and 289.10

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Solution

The fourth proportional to 391.86, 586.50 and 289.10 is: 432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.86 : 586.50 = 289.10 : x
  2. Step 2: Convert to fraction form
    391.86/586.50 = 289.10/x
  3. Step 3: Cross multiply
    391.86x = 586.50 × 289.10
  4. Step 4: Simplify right side
    391.86x = 169,554.22
  5. Step 5: Solve for x
    x = 169,554.22/391.86
  6. Step 6: Final answer
    x = 432.69

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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.