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Finding the Fourth Proportional to 410.06, 614.64 and 204.80

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Solution

The fourth proportional to 410.06, 614.64 and 204.80 is: 306.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.06 : 614.64 = 204.80 : x
  2. Step 2: Convert to fraction form
    410.06/614.64 = 204.80/x
  3. Step 3: Cross multiply
    410.06x = 614.64 × 204.80
  4. Step 4: Simplify right side
    410.06x = 125,880.00
  5. Step 5: Solve for x
    x = 125,880.00/410.06
  6. Step 6: Final answer
    x = 306.98

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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.