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Finding the Fourth Proportional to 487.45, 672.59 and 462.82

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Solution

The fourth proportional to 487.45, 672.59 and 462.82 is: 638.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.45 : 672.59 = 462.82 : x
  2. Step 2: Convert to fraction form
    487.45/672.59 = 462.82/x
  3. Step 3: Cross multiply
    487.45x = 672.59 × 462.82
  4. Step 4: Simplify right side
    487.45x = 311,288.10
  5. Step 5: Solve for x
    x = 311,288.10/487.45
  6. Step 6: Final answer
    x = 638.61

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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.