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Finding the Fourth Proportional to 487.76, 672.76 and 301.19

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Solution

The fourth proportional to 487.76, 672.76 and 301.19 is: 415.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.76 : 672.76 = 301.19 : x
  2. Step 2: Convert to fraction form
    487.76/672.76 = 301.19/x
  3. Step 3: Cross multiply
    487.76x = 672.76 × 301.19
  4. Step 4: Simplify right side
    487.76x = 202,624.47
  5. Step 5: Solve for x
    x = 202,624.47/487.76
  6. Step 6: Final answer
    x = 415.42

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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.