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Finding the Fourth Proportional to 587.54, 882.67 and 344.24

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Solution

The fourth proportional to 587.54, 882.67 and 344.24 is: 517.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.54 : 882.67 = 344.24 : x
  2. Step 2: Convert to fraction form
    587.54/882.67 = 344.24/x
  3. Step 3: Cross multiply
    587.54x = 882.67 × 344.24
  4. Step 4: Simplify right side
    587.54x = 303,845.91
  5. Step 5: Solve for x
    x = 303,845.91/587.54
  6. Step 6: Final answer
    x = 517.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.