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Finding the Fourth Proportional to 314.72, 431.84 and 306.56

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Solution

The fourth proportional to 314.72, 431.84 and 306.56 is: 420.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.72 : 431.84 = 306.56 : x
  2. Step 2: Convert to fraction form
    314.72/431.84 = 306.56/x
  3. Step 3: Cross multiply
    314.72x = 431.84 × 306.56
  4. Step 4: Simplify right side
    314.72x = 132,384.87
  5. Step 5: Solve for x
    x = 132,384.87/314.72
  6. Step 6: Final answer
    x = 420.64

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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.