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Finding the Fourth Proportional to 588.86, 882.86 and 280.53

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Solution

The fourth proportional to 588.86, 882.86 and 280.53 is: 420.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.86 : 882.86 = 280.53 : x
  2. Step 2: Convert to fraction form
    588.86/882.86 = 280.53/x
  3. Step 3: Cross multiply
    588.86x = 882.86 × 280.53
  4. Step 4: Simplify right side
    588.86x = 247,667.31
  5. Step 5: Solve for x
    x = 247,667.31/588.86
  6. Step 6: Final answer
    x = 420.59

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Why These Related Problems?

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