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Finding the Fourth Proportional to 586.12, 809.22 and 411.88

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Solution

The fourth proportional to 586.12, 809.22 and 411.88 is: 568.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.12 : 809.22 = 411.88 : x
  2. Step 2: Convert to fraction form
    586.12/809.22 = 411.88/x
  3. Step 3: Cross multiply
    586.12x = 809.22 × 411.88
  4. Step 4: Simplify right side
    586.12x = 333,301.53
  5. Step 5: Solve for x
    x = 333,301.53/586.12
  6. Step 6: Final answer
    x = 568.66

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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.