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Finding the Fourth Proportional to 649.24, 895.97 and 400.42

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Solution

The fourth proportional to 649.24, 895.97 and 400.42 is: 552.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.24 : 895.97 = 400.42 : x
  2. Step 2: Convert to fraction form
    649.24/895.97 = 400.42/x
  3. Step 3: Cross multiply
    649.24x = 895.97 × 400.42
  4. Step 4: Simplify right side
    649.24x = 358,764.47
  5. Step 5: Solve for x
    x = 358,764.47/649.24
  6. Step 6: Final answer
    x = 552.59

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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.