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Finding the Fourth Proportional to 672.42, 928.20 and 392.88

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Solution

The fourth proportional to 672.42, 928.20 and 392.88 is: 542.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.42 : 928.20 = 392.88 : x
  2. Step 2: Convert to fraction form
    672.42/928.20 = 392.88/x
  3. Step 3: Cross multiply
    672.42x = 928.20 × 392.88
  4. Step 4: Simplify right side
    672.42x = 364,671.22
  5. Step 5: Solve for x
    x = 364,671.22/672.42
  6. Step 6: Final answer
    x = 542.33

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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.