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Finding the Fourth Proportional to 614.64, 922.20 and 325.92

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Solution

The fourth proportional to 614.64, 922.20 and 325.92 is: 489.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.64 : 922.20 = 325.92 : x
  2. Step 2: Convert to fraction form
    614.64/922.20 = 325.92/x
  3. Step 3: Cross multiply
    614.64x = 922.20 × 325.92
  4. Step 4: Simplify right side
    614.64x = 300,563.42
  5. Step 5: Solve for x
    x = 300,563.42/614.64
  6. Step 6: Final answer
    x = 489.01

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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.