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Finding the Fourth Proportional to 410.12, 614.28 and 193.04

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Solution

The fourth proportional to 410.12, 614.28 and 193.04 is: 289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.12 : 614.28 = 193.04 : x
  2. Step 2: Convert to fraction form
    410.12/614.28 = 193.04/x
  3. Step 3: Cross multiply
    410.12x = 614.28 × 193.04
  4. Step 4: Simplify right side
    410.12x = 118,580.61
  5. Step 5: Solve for x
    x = 118,580.61/410.12
  6. Step 6: Final answer
    x = 289.14

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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.