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Finding the Fourth Proportional to 409.80, 614.70 and 101.66

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Solution

The fourth proportional to 409.80, 614.70 and 101.66 is: 152.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.80 : 614.70 = 101.66 : x
  2. Step 2: Convert to fraction form
    409.80/614.70 = 101.66/x
  3. Step 3: Cross multiply
    409.80x = 614.70 × 101.66
  4. Step 4: Simplify right side
    409.80x = 62,490.40
  5. Step 5: Solve for x
    x = 62,490.40/409.80
  6. Step 6: Final answer
    x = 152.49

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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.