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Finding the Fourth Proportional to 410.07, 614.70 and 193.80

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Solution

The fourth proportional to 410.07, 614.70 and 193.80 is: 290.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.07 : 614.70 = 193.80 : x
  2. Step 2: Convert to fraction form
    410.07/614.70 = 193.80/x
  3. Step 3: Cross multiply
    410.07x = 614.70 × 193.80
  4. Step 4: Simplify right side
    410.07x = 119,128.86
  5. Step 5: Solve for x
    x = 119,128.86/410.07
  6. Step 6: Final answer
    x = 290.51

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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.