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Finding the Fourth Proportional to 614.50, 921.99 and 272.74

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Solution

The fourth proportional to 614.50, 921.99 and 272.74 is: 409.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.50 : 921.99 = 272.74 : x
  2. Step 2: Convert to fraction form
    614.50/921.99 = 272.74/x
  3. Step 3: Cross multiply
    614.50x = 921.99 × 272.74
  4. Step 4: Simplify right side
    614.50x = 251,463.55
  5. Step 5: Solve for x
    x = 251,463.55/614.50
  6. Step 6: Final answer
    x = 409.22

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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.