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Finding the Fourth Proportional to 586.24, 809.20 and 379.28

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Solution

The fourth proportional to 586.24, 809.20 and 379.28 is: 523.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.24 : 809.20 = 379.28 : x
  2. Step 2: Convert to fraction form
    586.24/809.20 = 379.28/x
  3. Step 3: Cross multiply
    586.24x = 809.20 × 379.28
  4. Step 4: Simplify right side
    586.24x = 306,913.38
  5. Step 5: Solve for x
    x = 306,913.38/586.24
  6. Step 6: Final answer
    x = 523.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.