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Finding the Fourth Proportional to 649.25, 895.82 and 383.73

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Solution

The fourth proportional to 649.25, 895.82 and 383.73 is: 529.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.25 : 895.82 = 383.73 : x
  2. Step 2: Convert to fraction form
    649.25/895.82 = 383.73/x
  3. Step 3: Cross multiply
    649.25x = 895.82 × 383.73
  4. Step 4: Simplify right side
    649.25x = 343,747.73
  5. Step 5: Solve for x
    x = 343,747.73/649.25
  6. Step 6: Final answer
    x = 529.45

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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.