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Finding the Fourth Proportional to 588, 882.24 and 299.28

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Solution

The fourth proportional to 588, 882.24 and 299.28 is: 449.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    588 : 882.24 = 299.28 : x
  2. Step 2: Convert to fraction form
    588/882.24 = 299.28/x
  3. Step 3: Cross multiply
    588x = 882.24 × 299.28
  4. Step 4: Simplify right side
    588x = 264,036.79
  5. Step 5: Solve for x
    x = 264,036.79/588
  6. Step 6: Final answer
    x = 449.04

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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.