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Finding the Fourth Proportional to 417.34, 626.04 and 128.80

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Solution

The fourth proportional to 417.34, 626.04 and 128.80 is: 193.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.34 : 626.04 = 128.80 : x
  2. Step 2: Convert to fraction form
    417.34/626.04 = 128.80/x
  3. Step 3: Cross multiply
    417.34x = 626.04 × 128.80
  4. Step 4: Simplify right side
    417.34x = 80,633.95
  5. Step 5: Solve for x
    x = 80,633.95/417.34
  6. Step 6: Final answer
    x = 193.21

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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.