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Finding the Fourth Proportional to 409.88, 614.54 and 214.99

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Solution

The fourth proportional to 409.88, 614.54 and 214.99 is: 322.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.88 : 614.54 = 214.99 : x
  2. Step 2: Convert to fraction form
    409.88/614.54 = 214.99/x
  3. Step 3: Cross multiply
    409.88x = 614.54 × 214.99
  4. Step 4: Simplify right side
    409.88x = 132,119.95
  5. Step 5: Solve for x
    x = 132,119.95/409.88
  6. Step 6: Final answer
    x = 322.34

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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.