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Finding the Fourth Proportional to 605.64, 908.04 and 317.28

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Solution

The fourth proportional to 605.64, 908.04 and 317.28 is: 475.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.64 : 908.04 = 317.28 : x
  2. Step 2: Convert to fraction form
    605.64/908.04 = 317.28/x
  3. Step 3: Cross multiply
    605.64x = 908.04 × 317.28
  4. Step 4: Simplify right side
    605.64x = 288,102.93
  5. Step 5: Solve for x
    x = 288,102.93/605.64
  6. Step 6: Final answer
    x = 475.70

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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.