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Finding the Fourth Proportional to 672.48, 928.10 and 410.49

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Solution

The fourth proportional to 672.48, 928.10 and 410.49 is: 566.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.48 : 928.10 = 410.49 : x
  2. Step 2: Convert to fraction form
    672.48/928.10 = 410.49/x
  3. Step 3: Cross multiply
    672.48x = 928.10 × 410.49
  4. Step 4: Simplify right side
    672.48x = 380,976.80
  5. Step 5: Solve for x
    x = 380,976.80/672.48
  6. Step 6: Final answer
    x = 566.53

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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.