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Finding the Fourth Proportional to 417.43, 626.23 and 157.42

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Solution

The fourth proportional to 417.43, 626.23 and 157.42 is: 236.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.43 : 626.23 = 157.42 : x
  2. Step 2: Convert to fraction form
    417.43/626.23 = 157.42/x
  3. Step 3: Cross multiply
    417.43x = 626.23 × 157.42
  4. Step 4: Simplify right side
    417.43x = 98,582.11
  5. Step 5: Solve for x
    x = 98,582.11/417.43
  6. Step 6: Final answer
    x = 236.16

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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.