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Finding the Fourth Proportional to 543.62, 749.92 and 346.93

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Solution

The fourth proportional to 543.62, 749.92 and 346.93 is: 478.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.62 : 749.92 = 346.93 : x
  2. Step 2: Convert to fraction form
    543.62/749.92 = 346.93/x
  3. Step 3: Cross multiply
    543.62x = 749.92 × 346.93
  4. Step 4: Simplify right side
    543.62x = 260,169.75
  5. Step 5: Solve for x
    x = 260,169.75/543.62
  6. Step 6: Final answer
    x = 478.59

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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.