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Finding the Fourth Proportional to 649.35, 895.52 and 538.65

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Solution

The fourth proportional to 649.35, 895.52 and 538.65 is: 742.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.35 : 895.52 = 538.65 : x
  2. Step 2: Convert to fraction form
    649.35/895.52 = 538.65/x
  3. Step 3: Cross multiply
    649.35x = 895.52 × 538.65
  4. Step 4: Simplify right side
    649.35x = 482,373.19
  5. Step 5: Solve for x
    x = 482,373.19/649.35
  6. Step 6: Final answer
    x = 742.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.