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Finding the Fourth Proportional to 387.62, 533.67 and 314.18

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Solution

The fourth proportional to 387.62, 533.67 and 314.18 is: 432.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.62 : 533.67 = 314.18 : x
  2. Step 2: Convert to fraction form
    387.62/533.67 = 314.18/x
  3. Step 3: Cross multiply
    387.62x = 533.67 × 314.18
  4. Step 4: Simplify right side
    387.62x = 167,665.77
  5. Step 5: Solve for x
    x = 167,665.77/387.62
  6. Step 6: Final answer
    x = 432.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.