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Finding the Fourth Proportional to 586.68, 809.74 and 338.17

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Solution

The fourth proportional to 586.68, 809.74 and 338.17 is: 466.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.68 : 809.74 = 338.17 : x
  2. Step 2: Convert to fraction form
    586.68/809.74 = 338.17/x
  3. Step 3: Cross multiply
    586.68x = 809.74 × 338.17
  4. Step 4: Simplify right side
    586.68x = 273,829.78
  5. Step 5: Solve for x
    x = 273,829.78/586.68
  6. Step 6: Final answer
    x = 466.74

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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.