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Finding the Fourth Proportional to 552.84, 757.92 and 543.12

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Solution

The fourth proportional to 552.84, 757.92 and 543.12 is: 744.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.84 : 757.92 = 543.12 : x
  2. Step 2: Convert to fraction form
    552.84/757.92 = 543.12/x
  3. Step 3: Cross multiply
    552.84x = 757.92 × 543.12
  4. Step 4: Simplify right side
    552.84x = 411,641.51
  5. Step 5: Solve for x
    x = 411,641.51/552.84
  6. Step 6: Final answer
    x = 744.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.