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Finding the Fourth Proportional to 916.24, 1,373.20 and 395.65

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Solution

The fourth proportional to 916.24, 1,373.20 and 395.65 is: 592.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.24 : 1,373.20 = 395.65 : x
  2. Step 2: Convert to fraction form
    916.24/1,373.20 = 395.65/x
  3. Step 3: Cross multiply
    916.24x = 1,373.20 × 395.65
  4. Step 4: Simplify right side
    916.24x = 543,306.58
  5. Step 5: Solve for x
    x = 543,306.58/916.24
  6. Step 6: Final answer
    x = 592.97

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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.