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Finding the Fourth Proportional to 672.12, 927.72 and 410.61

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Solution

The fourth proportional to 672.12, 927.72 and 410.61 is: 566.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.12 : 927.72 = 410.61 : x
  2. Step 2: Convert to fraction form
    672.12/927.72 = 410.61/x
  3. Step 3: Cross multiply
    672.12x = 927.72 × 410.61
  4. Step 4: Simplify right side
    672.12x = 380,931.11
  5. Step 5: Solve for x
    x = 380,931.11/672.12
  6. Step 6: Final answer
    x = 566.76

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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.