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Finding the Fourth Proportional to 543.28, 750.06 and 418.69

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Solution

The fourth proportional to 543.28, 750.06 and 418.69 is: 578.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.28 : 750.06 = 418.69 : x
  2. Step 2: Convert to fraction form
    543.28/750.06 = 418.69/x
  3. Step 3: Cross multiply
    543.28x = 750.06 × 418.69
  4. Step 4: Simplify right side
    543.28x = 314,042.62
  5. Step 5: Solve for x
    x = 314,042.62/543.28
  6. Step 6: Final answer
    x = 578.05

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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.