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Finding the Fourth Proportional to 315.12, 431.96 and 314.64

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Solution

The fourth proportional to 315.12, 431.96 and 314.64 is: 431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.12 : 431.96 = 314.64 : x
  2. Step 2: Convert to fraction form
    315.12/431.96 = 314.64/x
  3. Step 3: Cross multiply
    315.12x = 431.96 × 314.64
  4. Step 4: Simplify right side
    315.12x = 135,911.89
  5. Step 5: Solve for x
    x = 135,911.89/315.12
  6. Step 6: Final answer
    x = 431.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.