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Finding the Fourth Proportional to 487.82, 672.77 and 412.49

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Solution

The fourth proportional to 487.82, 672.77 and 412.49 is: 568.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.82 : 672.77 = 412.49 : x
  2. Step 2: Convert to fraction form
    487.82/672.77 = 412.49/x
  3. Step 3: Cross multiply
    487.82x = 672.77 × 412.49
  4. Step 4: Simplify right side
    487.82x = 277,505.47
  5. Step 5: Solve for x
    x = 277,505.47/487.82
  6. Step 6: Final answer
    x = 568.87

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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.