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Finding the Fourth Proportional to 586.47, 809.37 and 337.80

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Solution

The fourth proportional to 586.47, 809.37 and 337.80 is: 466.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.47 : 809.37 = 337.80 : x
  2. Step 2: Convert to fraction form
    586.47/809.37 = 337.80/x
  3. Step 3: Cross multiply
    586.47x = 809.37 × 337.80
  4. Step 4: Simplify right side
    586.47x = 273,405.19
  5. Step 5: Solve for x
    x = 273,405.19/586.47
  6. Step 6: Final answer
    x = 466.19

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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.