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Finding the Fourth Proportional to 417.09, 625.69 and 157.25

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Solution

The fourth proportional to 417.09, 625.69 and 157.25 is: 235.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.09 : 625.69 = 157.25 : x
  2. Step 2: Convert to fraction form
    417.09/625.69 = 157.25/x
  3. Step 3: Cross multiply
    417.09x = 625.69 × 157.25
  4. Step 4: Simplify right side
    417.09x = 98,389.75
  5. Step 5: Solve for x
    x = 98,389.75/417.09
  6. Step 6: Final answer
    x = 235.90

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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.