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Finding the Fourth Proportional to 315.65, 429.76 and 314.68

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Solution

The fourth proportional to 315.65, 429.76 and 314.68 is: 428.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.65 : 429.76 = 314.68 : x
  2. Step 2: Convert to fraction form
    315.65/429.76 = 314.68/x
  3. Step 3: Cross multiply
    315.65x = 429.76 × 314.68
  4. Step 4: Simplify right side
    315.65x = 135,233.15
  5. Step 5: Solve for x
    x = 135,233.15/315.65
  6. Step 6: Final answer
    x = 428.43

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.