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Finding the Fourth Proportional to 543.06, 748.88 and 346.50

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Solution

The fourth proportional to 543.06, 748.88 and 346.50 is: 477.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.06 : 748.88 = 346.50 : x
  2. Step 2: Convert to fraction form
    543.06/748.88 = 346.50/x
  3. Step 3: Cross multiply
    543.06x = 748.88 × 346.50
  4. Step 4: Simplify right side
    543.06x = 259,486.92
  5. Step 5: Solve for x
    x = 259,486.92/543.06
  6. Step 6: Final answer
    x = 477.82

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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.