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Finding the Fourth Proportional to 315.38, 431.48 and 314.01

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Solution

The fourth proportional to 315.38, 431.48 and 314.01 is: 429.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.38 : 431.48 = 314.01 : x
  2. Step 2: Convert to fraction form
    315.38/431.48 = 314.01/x
  3. Step 3: Cross multiply
    315.38x = 431.48 × 314.01
  4. Step 4: Simplify right side
    315.38x = 135,489.03
  5. Step 5: Solve for x
    x = 135,489.03/315.38
  6. Step 6: Final answer
    x = 429.61

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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.