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Finding the Fourth Proportional to 586.10, 809.25 and 411.68

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Solution

The fourth proportional to 586.10, 809.25 and 411.68 is: 568.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.10 : 809.25 = 411.68 : x
  2. Step 2: Convert to fraction form
    586.10/809.25 = 411.68/x
  3. Step 3: Cross multiply
    586.10x = 809.25 × 411.68
  4. Step 4: Simplify right side
    586.10x = 333,152.04
  5. Step 5: Solve for x
    x = 333,152.04/586.10
  6. Step 6: Final answer
    x = 568.42

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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.