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Finding the Fourth Proportional to 417.65, 626.46 and 174.16

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Solution

The fourth proportional to 417.65, 626.46 and 174.16 is: 261.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.65 : 626.46 = 174.16 : x
  2. Step 2: Convert to fraction form
    417.65/626.46 = 174.16/x
  3. Step 3: Cross multiply
    417.65x = 626.46 × 174.16
  4. Step 4: Simplify right side
    417.65x = 109,104.40
  5. Step 5: Solve for x
    x = 109,104.40/417.65
  6. Step 6: Final answer
    x = 261.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.