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Finding the Fourth Proportional to 487.35, 672.30 and 414.45

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Solution

The fourth proportional to 487.35, 672.30 and 414.45 is: 571.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.35 : 672.30 = 414.45 : x
  2. Step 2: Convert to fraction form
    487.35/672.30 = 414.45/x
  3. Step 3: Cross multiply
    487.35x = 672.30 × 414.45
  4. Step 4: Simplify right side
    487.35x = 278,634.74
  5. Step 5: Solve for x
    x = 278,634.74/487.35
  6. Step 6: Final answer
    x = 571.73

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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.