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Finding the Fourth Proportional to 586.52, 809.38 and 324.53

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Solution

The fourth proportional to 586.52, 809.38 and 324.53 is: 447.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.52 : 809.38 = 324.53 : x
  2. Step 2: Convert to fraction form
    586.52/809.38 = 324.53/x
  3. Step 3: Cross multiply
    586.52x = 809.38 × 324.53
  4. Step 4: Simplify right side
    586.52x = 262,670.67
  5. Step 5: Solve for x
    x = 262,670.67/586.52
  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.