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Finding the Fourth Proportional to 315.29, 433.96 and 268.52

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Solution

The fourth proportional to 315.29, 433.96 and 268.52 is: 369.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.29 : 433.96 = 268.52 : x
  2. Step 2: Convert to fraction form
    315.29/433.96 = 268.52/x
  3. Step 3: Cross multiply
    315.29x = 433.96 × 268.52
  4. Step 4: Simplify right side
    315.29x = 116,524.10
  5. Step 5: Solve for x
    x = 116,524.10/315.29
  6. Step 6: Final answer
    x = 369.57

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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.