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Finding the Fourth Proportional to 590.72, 885.92 and 302.24

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Solution

The fourth proportional to 590.72, 885.92 and 302.24 is: 453.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.72 : 885.92 = 302.24 : x
  2. Step 2: Convert to fraction form
    590.72/885.92 = 302.24/x
  3. Step 3: Cross multiply
    590.72x = 885.92 × 302.24
  4. Step 4: Simplify right side
    590.72x = 267,760.46
  5. Step 5: Solve for x
    x = 267,760.46/590.72
  6. Step 6: Final answer
    x = 453.28

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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.