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Finding the Fourth Proportional to 543.48, 749.87 and 319.35

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Solution

The fourth proportional to 543.48, 749.87 and 319.35 is: 440.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.48 : 749.87 = 319.35 : x
  2. Step 2: Convert to fraction form
    543.48/749.87 = 319.35/x
  3. Step 3: Cross multiply
    543.48x = 749.87 × 319.35
  4. Step 4: Simplify right side
    543.48x = 239,469.39
  5. Step 5: Solve for x
    x = 239,469.39/543.48
  6. Step 6: Final answer
    x = 440.62

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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.