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Finding the Fourth Proportional to 314.76, 432.63 and 277.71

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Solution

The fourth proportional to 314.76, 432.63 and 277.71 is: 381.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.76 : 432.63 = 277.71 : x
  2. Step 2: Convert to fraction form
    314.76/432.63 = 277.71/x
  3. Step 3: Cross multiply
    314.76x = 432.63 × 277.71
  4. Step 4: Simplify right side
    314.76x = 120,145.68
  5. Step 5: Solve for x
    x = 120,145.68/314.76
  6. Step 6: Final answer
    x = 381.71

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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.