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Finding the Fourth Proportional to 543.29, 748.92 and 333.30

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Solution

The fourth proportional to 543.29, 748.92 and 333.30 is: 459.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.29 : 748.92 = 333.30 : x
  2. Step 2: Convert to fraction form
    543.29/748.92 = 333.30/x
  3. Step 3: Cross multiply
    543.29x = 748.92 × 333.30
  4. Step 4: Simplify right side
    543.29x = 249,617.76
  5. Step 5: Solve for x
    x = 249,617.76/543.29
  6. Step 6: Final answer
    x = 459.46

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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.