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Finding the Fourth Proportional to 588.31, 882.59 and 296.01

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Solution

The fourth proportional to 588.31, 882.59 and 296.01 is: 444.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.31 : 882.59 = 296.01 : x
  2. Step 2: Convert to fraction form
    588.31/882.59 = 296.01/x
  3. Step 3: Cross multiply
    588.31x = 882.59 × 296.01
  4. Step 4: Simplify right side
    588.31x = 261,249.57
  5. Step 5: Solve for x
    x = 261,249.57/588.31
  6. Step 6: Final answer
    x = 444.07

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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.