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Finding the Fourth Proportional to 543.61, 750.96 and 377.76

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Solution

The fourth proportional to 543.61, 750.96 and 377.76 is: 521.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.61 : 750.96 = 377.76 : x
  2. Step 2: Convert to fraction form
    543.61/750.96 = 377.76/x
  3. Step 3: Cross multiply
    543.61x = 750.96 × 377.76
  4. Step 4: Simplify right side
    543.61x = 283,680.76
  5. Step 5: Solve for x
    x = 283,680.76/543.61
  6. Step 6: Final answer
    x = 521.85

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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.