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Finding the Fourth Proportional to 605.56, 908.88 and 317.20

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Solution

The fourth proportional to 605.56, 908.88 and 317.20 is: 476.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.56 : 908.88 = 317.20 : x
  2. Step 2: Convert to fraction form
    605.56/908.88 = 317.20/x
  3. Step 3: Cross multiply
    605.56x = 908.88 × 317.20
  4. Step 4: Simplify right side
    605.56x = 288,293.27
  5. Step 5: Solve for x
    x = 288,293.27/605.56
  6. Step 6: Final answer
    x = 476.08

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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.