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Finding the Fourth Proportional to 317.53, 438.01 and 219.11

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Solution

The fourth proportional to 317.53, 438.01 and 219.11 is: 302.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.53 : 438.01 = 219.11 : x
  2. Step 2: Convert to fraction form
    317.53/438.01 = 219.11/x
  3. Step 3: Cross multiply
    317.53x = 438.01 × 219.11
  4. Step 4: Simplify right side
    317.53x = 95,972.92
  5. Step 5: Solve for x
    x = 95,972.92/317.53
  6. Step 6: Final answer
    x = 302.25

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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.