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Finding the Fourth Proportional to 417.36, 625.92 and 157.32

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Solution

The fourth proportional to 417.36, 625.92 and 157.32 is: 235.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.36 : 625.92 = 157.32 : x
  2. Step 2: Convert to fraction form
    417.36/625.92 = 157.32/x
  3. Step 3: Cross multiply
    417.36x = 625.92 × 157.32
  4. Step 4: Simplify right side
    417.36x = 98,469.73
  5. Step 5: Solve for x
    x = 98,469.73/417.36
  6. Step 6: Final answer
    x = 235.93

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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.