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Finding the Fourth Proportional to 588.45, 882.72 and 280.45

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Solution

The fourth proportional to 588.45, 882.72 and 280.45 is: 420.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.45 : 882.72 = 280.45 : x
  2. Step 2: Convert to fraction form
    588.45/882.72 = 280.45/x
  3. Step 3: Cross multiply
    588.45x = 882.72 × 280.45
  4. Step 4: Simplify right side
    588.45x = 247,558.82
  5. Step 5: Solve for x
    x = 247,558.82/588.45
  6. Step 6: Final answer
    x = 420.70

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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.