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Finding the Fourth Proportional to 543.33, 749.43 and 346.76

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Solution

The fourth proportional to 543.33, 749.43 and 346.76 is: 478.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.33 : 749.43 = 346.76 : x
  2. Step 2: Convert to fraction form
    543.33/749.43 = 346.76/x
  3. Step 3: Cross multiply
    543.33x = 749.43 × 346.76
  4. Step 4: Simplify right side
    543.33x = 259,872.35
  5. Step 5: Solve for x
    x = 259,872.35/543.33
  6. Step 6: Final answer
    x = 478.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.