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Finding the Fourth Proportional to 543.61, 815.82 and 442.09

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Solution

The fourth proportional to 543.61, 815.82 and 442.09 is: 663.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.61 : 815.82 = 442.09 : x
  2. Step 2: Convert to fraction form
    543.61/815.82 = 442.09/x
  3. Step 3: Cross multiply
    543.61x = 815.82 × 442.09
  4. Step 4: Simplify right side
    543.61x = 360,665.86
  5. Step 5: Solve for x
    x = 360,665.86/543.61
  6. Step 6: Final answer
    x = 663.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.