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Finding the Fourth Proportional to 672.64, 928.22 and 392.94

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Solution

The fourth proportional to 672.64, 928.22 and 392.94 is: 542.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.64 : 928.22 = 392.94 : x
  2. Step 2: Convert to fraction form
    672.64/928.22 = 392.94/x
  3. Step 3: Cross multiply
    672.64x = 928.22 × 392.94
  4. Step 4: Simplify right side
    672.64x = 364,734.26
  5. Step 5: Solve for x
    x = 364,734.26/672.64
  6. Step 6: Final answer
    x = 542.25

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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.