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Finding the Fourth Proportional to 417.76, 626.74 and 174.23

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Solution

The fourth proportional to 417.76, 626.74 and 174.23 is: 261.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.76 : 626.74 = 174.23 : x
  2. Step 2: Convert to fraction form
    417.76/626.74 = 174.23/x
  3. Step 3: Cross multiply
    417.76x = 626.74 × 174.23
  4. Step 4: Simplify right side
    417.76x = 109,196.91
  5. Step 5: Solve for x
    x = 109,196.91/417.76
  6. Step 6: Final answer
    x = 261.39

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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.