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Finding the Fourth Proportional to 317.71, 438.64 and 243.89

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Solution

The fourth proportional to 317.71, 438.64 and 243.89 is: 336.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.71 : 438.64 = 243.89 : x
  2. Step 2: Convert to fraction form
    317.71/438.64 = 243.89/x
  3. Step 3: Cross multiply
    317.71x = 438.64 × 243.89
  4. Step 4: Simplify right side
    317.71x = 106,977.72
  5. Step 5: Solve for x
    x = 106,977.72/317.71
  6. Step 6: Final answer
    x = 336.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.