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Finding the Fourth Proportional to 672.50, 928.10 and 377.78

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Solution

The fourth proportional to 672.50, 928.10 and 377.78 is: 521.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.50 : 928.10 = 377.78 : x
  2. Step 2: Convert to fraction form
    672.50/928.10 = 377.78/x
  3. Step 3: Cross multiply
    672.50x = 928.10 × 377.78
  4. Step 4: Simplify right side
    672.50x = 350,617.62
  5. Step 5: Solve for x
    x = 350,617.62/672.50
  6. Step 6: Final answer
    x = 521.36

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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.