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Finding the Fourth Proportional to 317.11, 476.46 and 295.62

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Solution

The fourth proportional to 317.11, 476.46 and 295.62 is: 444.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.11 : 476.46 = 295.62 : x
  2. Step 2: Convert to fraction form
    317.11/476.46 = 295.62/x
  3. Step 3: Cross multiply
    317.11x = 476.46 × 295.62
  4. Step 4: Simplify right side
    317.11x = 140,851.11
  5. Step 5: Solve for x
    x = 140,851.11/317.11
  6. Step 6: Final answer
    x = 444.17

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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.