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Finding the Fourth Proportional to 672.32, 928.34 and 541.96

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Solution

The fourth proportional to 672.32, 928.34 and 541.96 is: 748.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.32 : 928.34 = 541.96 : x
  2. Step 2: Convert to fraction form
    672.32/928.34 = 541.96/x
  3. Step 3: Cross multiply
    672.32x = 928.34 × 541.96
  4. Step 4: Simplify right side
    672.32x = 503,123.15
  5. Step 5: Solve for x
    x = 503,123.15/672.32
  6. Step 6: Final answer
    x = 748.34

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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.