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Finding the Fourth Proportional to 586.78, 809.76 and 324.80

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Solution

The fourth proportional to 586.78, 809.76 and 324.80 is: 448.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.78 : 809.76 = 324.80 : x
  2. Step 2: Convert to fraction form
    586.78/809.76 = 324.80/x
  3. Step 3: Cross multiply
    586.78x = 809.76 × 324.80
  4. Step 4: Simplify right side
    586.78x = 263,013.29
  5. Step 5: Solve for x
    x = 263,013.29/586.78
  6. Step 6: Final answer
    x = 448.23

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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.