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Finding the Fourth Proportional to 417.65, 626.36 and 174.13

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Solution

The fourth proportional to 417.65, 626.36 and 174.13 is: 261.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.65 : 626.36 = 174.13 : x
  2. Step 2: Convert to fraction form
    417.65/626.36 = 174.13/x
  3. Step 3: Cross multiply
    417.65x = 626.36 × 174.13
  4. Step 4: Simplify right side
    417.65x = 109,064.06
  5. Step 5: Solve for x
    x = 109,064.06/417.65
  6. Step 6: Final answer
    x = 261.14

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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.