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Finding the Fourth Proportional to 327.24, 489.78 and 291.24

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Solution

The fourth proportional to 327.24, 489.78 and 291.24 is: 435.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.24 : 489.78 = 291.24 : x
  2. Step 2: Convert to fraction form
    327.24/489.78 = 291.24/x
  3. Step 3: Cross multiply
    327.24x = 489.78 × 291.24
  4. Step 4: Simplify right side
    327.24x = 142,643.53
  5. Step 5: Solve for x
    x = 142,643.53/327.24
  6. Step 6: Final answer
    x = 435.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.