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Finding the Fourth Proportional to 543.84, 749.52 and 396.24

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Solution

The fourth proportional to 543.84, 749.52 and 396.24 is: 546.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.84 : 749.52 = 396.24 : x
  2. Step 2: Convert to fraction form
    543.84/749.52 = 396.24/x
  3. Step 3: Cross multiply
    543.84x = 749.52 × 396.24
  4. Step 4: Simplify right side
    543.84x = 296,989.80
  5. Step 5: Solve for x
    x = 296,989.80/543.84
  6. Step 6: Final answer
    x = 546.10

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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.