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Finding the Fourth Proportional to 672.65, 928.14 and 377.93

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Solution

The fourth proportional to 672.65, 928.14 and 377.93 is: 521.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.65 : 928.14 = 377.93 : x
  2. Step 2: Convert to fraction form
    672.65/928.14 = 377.93/x
  3. Step 3: Cross multiply
    672.65x = 928.14 × 377.93
  4. Step 4: Simplify right side
    672.65x = 350,771.95
  5. Step 5: Solve for x
    x = 350,771.95/672.65
  6. Step 6: Final answer
    x = 521.48

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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.