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Finding the Fourth Proportional to 586.33, 809.05 and 337.62

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Solution

The fourth proportional to 586.33, 809.05 and 337.62 is: 465.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.33 : 809.05 = 337.62 : x
  2. Step 2: Convert to fraction form
    586.33/809.05 = 337.62/x
  3. Step 3: Cross multiply
    586.33x = 809.05 × 337.62
  4. Step 4: Simplify right side
    586.33x = 273,151.46
  5. Step 5: Solve for x
    x = 273,151.46/586.33
  6. Step 6: Final answer
    x = 465.87

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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.