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Finding the Fourth Proportional to 409.98, 614.91 and 117.50

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Solution

The fourth proportional to 409.98, 614.91 and 117.50 is: 176.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.98 : 614.91 = 117.50 : x
  2. Step 2: Convert to fraction form
    409.98/614.91 = 117.50/x
  3. Step 3: Cross multiply
    409.98x = 614.91 × 117.50
  4. Step 4: Simplify right side
    409.98x = 72,248.85
  5. Step 5: Solve for x
    x = 72,248.85/409.98
  6. Step 6: Final answer
    x = 176.23

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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.