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Finding the Fourth Proportional to 586.86, 809.78 and 338.13

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Solution

The fourth proportional to 586.86, 809.78 and 338.13 is: 466.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.86 : 809.78 = 338.13 : x
  2. Step 2: Convert to fraction form
    586.86/809.78 = 338.13/x
  3. Step 3: Cross multiply
    586.86x = 809.78 × 338.13
  4. Step 4: Simplify right side
    586.86x = 273,809.22
  5. Step 5: Solve for x
    x = 273,809.22/586.86
  6. Step 6: Final answer
    x = 466.57

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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.