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Finding the Fourth Proportional to 543.46, 749.76 and 346.90

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Solution

The fourth proportional to 543.46, 749.76 and 346.90 is: 478.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.46 : 749.76 = 346.90 : x
  2. Step 2: Convert to fraction form
    543.46/749.76 = 346.90/x
  3. Step 3: Cross multiply
    543.46x = 749.76 × 346.90
  4. Step 4: Simplify right side
    543.46x = 260,091.74
  5. Step 5: Solve for x
    x = 260,091.74/543.46
  6. Step 6: Final answer
    x = 478.58

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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.