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Finding the Fourth Proportional to 410.27, 614.52 and 193.32

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Solution

The fourth proportional to 410.27, 614.52 and 193.32 is: 289.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.27 : 614.52 = 193.32 : x
  2. Step 2: Convert to fraction form
    410.27/614.52 = 193.32/x
  3. Step 3: Cross multiply
    410.27x = 614.52 × 193.32
  4. Step 4: Simplify right side
    410.27x = 118,799.01
  5. Step 5: Solve for x
    x = 118,799.01/410.27
  6. Step 6: Final answer
    x = 289.57

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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.