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Finding the Fourth Proportional to 409.83, 614.52 and 225.01

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Solution

The fourth proportional to 409.83, 614.52 and 225.01 is: 337.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.83 : 614.52 = 225.01 : x
  2. Step 2: Convert to fraction form
    409.83/614.52 = 225.01/x
  3. Step 3: Cross multiply
    409.83x = 614.52 × 225.01
  4. Step 4: Simplify right side
    409.83x = 138,273.91
  5. Step 5: Solve for x
    x = 138,273.91/409.83
  6. Step 6: Final answer
    x = 337.40

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