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Finding the Fourth Proportional to 315.89, 432.17 and 314.52

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Solution

The fourth proportional to 315.89, 432.17 and 314.52 is: 430.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.89 : 432.17 = 314.52 : x
  2. Step 2: Convert to fraction form
    315.89/432.17 = 314.52/x
  3. Step 3: Cross multiply
    315.89x = 432.17 × 314.52
  4. Step 4: Simplify right side
    315.89x = 135,924.54
  5. Step 5: Solve for x
    x = 135,924.54/315.89
  6. Step 6: Final answer
    x = 430.30

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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.