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Finding the Fourth Proportional to 543.89, 750.33 and 347.06

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Solution

The fourth proportional to 543.89, 750.33 and 347.06 is: 478.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.89 : 750.33 = 347.06 : x
  2. Step 2: Convert to fraction form
    543.89/750.33 = 347.06/x
  3. Step 3: Cross multiply
    543.89x = 750.33 × 347.06
  4. Step 4: Simplify right side
    543.89x = 260,405.78
  5. Step 5: Solve for x
    x = 260,405.78/543.89
  6. Step 6: Final answer
    x = 478.79

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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.