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Finding the Fourth Proportional to 588.88, 882.79 and 264.07

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Solution

The fourth proportional to 588.88, 882.79 and 264.07 is: 395.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.88 : 882.79 = 264.07 : x
  2. Step 2: Convert to fraction form
    588.88/882.79 = 264.07/x
  3. Step 3: Cross multiply
    588.88x = 882.79 × 264.07
  4. Step 4: Simplify right side
    588.88x = 233,120.35
  5. Step 5: Solve for x
    x = 233,120.35/588.88
  6. Step 6: Final answer
    x = 395.87

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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.