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Finding the Fourth Proportional to 417.30, 626.16 and 320.42

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Solution

The fourth proportional to 417.30, 626.16 and 320.42 is: 480.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.30 : 626.16 = 320.42 : x
  2. Step 2: Convert to fraction form
    417.30/626.16 = 320.42/x
  3. Step 3: Cross multiply
    417.30x = 626.16 × 320.42
  4. Step 4: Simplify right side
    417.30x = 200,634.19
  5. Step 5: Solve for x
    x = 200,634.19/417.30
  6. Step 6: Final answer
    x = 480.79

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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.