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Finding the Fourth Proportional to 586.80, 809.75 and 324.81

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Solution

The fourth proportional to 586.80, 809.75 and 324.81 is: 448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.80 : 809.75 = 324.81 : x
  2. Step 2: Convert to fraction form
    586.80/809.75 = 324.81/x
  3. Step 3: Cross multiply
    586.80x = 809.75 × 324.81
  4. Step 4: Simplify right side
    586.80x = 263,014.90
  5. Step 5: Solve for x
    x = 263,014.90/586.80
  6. Step 6: Final answer
    x = 448.22

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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.