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Finding the Fourth Proportional to 617.35, 926.01 and 252.16

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Solution

The fourth proportional to 617.35, 926.01 and 252.16 is: 378.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.35 : 926.01 = 252.16 : x
  2. Step 2: Convert to fraction form
    617.35/926.01 = 252.16/x
  3. Step 3: Cross multiply
    617.35x = 926.01 × 252.16
  4. Step 4: Simplify right side
    617.35x = 233,502.68
  5. Step 5: Solve for x
    x = 233,502.68/617.35
  6. Step 6: Final answer
    x = 378.23

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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.