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Finding the Fourth Proportional to 314.37, 433.59 and 278.97

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Solution

The fourth proportional to 314.37, 433.59 and 278.97 is: 384.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.37 : 433.59 = 278.97 : x
  2. Step 2: Convert to fraction form
    314.37/433.59 = 278.97/x
  3. Step 3: Cross multiply
    314.37x = 433.59 × 278.97
  4. Step 4: Simplify right side
    314.37x = 120,958.60
  5. Step 5: Solve for x
    x = 120,958.60/314.37
  6. Step 6: Final answer
    x = 384.77

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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.