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Finding the Fourth Proportional to 586.49, 809.33 and 324.54

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Solution

The fourth proportional to 586.49, 809.33 and 324.54 is: 447.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.49 : 809.33 = 324.54 : x
  2. Step 2: Convert to fraction form
    586.49/809.33 = 324.54/x
  3. Step 3: Cross multiply
    586.49x = 809.33 × 324.54
  4. Step 4: Simplify right side
    586.49x = 262,658.34
  5. Step 5: Solve for x
    x = 262,658.34/586.49
  6. Step 6: Final answer
    x = 447.85

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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.