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Finding the Fourth Proportional to 586.81, 809.74 and 324.81

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Solution

The fourth proportional to 586.81, 809.74 and 324.81 is: 448.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.81 : 809.74 = 324.81 : x
  2. Step 2: Convert to fraction form
    586.81/809.74 = 324.81/x
  3. Step 3: Cross multiply
    586.81x = 809.74 × 324.81
  4. Step 4: Simplify right side
    586.81x = 263,010.03
  5. Step 5: Solve for x
    x = 263,010.03/586.81
  6. Step 6: Final answer
    x = 448.20

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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.