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Finding the Fourth Proportional to 410.18, 614.98 and 193.64

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Solution

The fourth proportional to 410.18, 614.98 and 193.64 is: 290.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.18 : 614.98 = 193.64 : x
  2. Step 2: Convert to fraction form
    410.18/614.98 = 193.64/x
  3. Step 3: Cross multiply
    410.18x = 614.98 × 193.64
  4. Step 4: Simplify right side
    410.18x = 119,084.73
  5. Step 5: Solve for x
    x = 119,084.73/410.18
  6. Step 6: Final answer
    x = 290.32

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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.