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Finding the Fourth Proportional to 317.26, 476.34 and 202.42

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Solution

The fourth proportional to 317.26, 476.34 and 202.42 is: 303.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.26 : 476.34 = 202.42 : x
  2. Step 2: Convert to fraction form
    317.26/476.34 = 202.42/x
  3. Step 3: Cross multiply
    317.26x = 476.34 × 202.42
  4. Step 4: Simplify right side
    317.26x = 96,420.74
  5. Step 5: Solve for x
    x = 96,420.74/317.26
  6. Step 6: Final answer
    x = 303.92

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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.