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Finding the Fourth Proportional to 410.34, 614.99 and 204.98

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Solution

The fourth proportional to 410.34, 614.99 and 204.98 is: 307.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.34 : 614.99 = 204.98 : x
  2. Step 2: Convert to fraction form
    410.34/614.99 = 204.98/x
  3. Step 3: Cross multiply
    410.34x = 614.99 × 204.98
  4. Step 4: Simplify right side
    410.34x = 126,060.65
  5. Step 5: Solve for x
    x = 126,060.65/410.34
  6. Step 6: Final answer
    x = 307.21

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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.