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Finding the Fourth Proportional to 409.80, 614.58 and 117.29

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Solution

The fourth proportional to 409.80, 614.58 and 117.29 is: 175.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.80 : 614.58 = 117.29 : x
  2. Step 2: Convert to fraction form
    409.80/614.58 = 117.29/x
  3. Step 3: Cross multiply
    409.80x = 614.58 × 117.29
  4. Step 4: Simplify right side
    409.80x = 72,081.02
  5. Step 5: Solve for x
    x = 72,081.02/409.80
  6. Step 6: Final answer
    x = 175.89

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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.