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Finding the Fourth Proportional to 586.32, 809.17 and 438.69

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Solution

The fourth proportional to 586.32, 809.17 and 438.69 is: 605.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.32 : 809.17 = 438.69 : x
  2. Step 2: Convert to fraction form
    586.32/809.17 = 438.69/x
  3. Step 3: Cross multiply
    586.32x = 809.17 × 438.69
  4. Step 4: Simplify right side
    586.32x = 354,974.79
  5. Step 5: Solve for x
    x = 354,974.79/586.32
  6. Step 6: Final answer
    x = 605.43

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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.