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Finding the Fourth Proportional to 543.60, 749.16 and 395.88

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Solution

The fourth proportional to 543.60, 749.16 and 395.88 is: 545.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.60 : 749.16 = 395.88 : x
  2. Step 2: Convert to fraction form
    543.60/749.16 = 395.88/x
  3. Step 3: Cross multiply
    543.60x = 749.16 × 395.88
  4. Step 4: Simplify right side
    543.60x = 296,577.46
  5. Step 5: Solve for x
    x = 296,577.46/543.60
  6. Step 6: Final answer
    x = 545.58

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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.