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Finding the Fourth Proportional to 331.38, 493.74 and 312.75

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Solution

The fourth proportional to 331.38, 493.74 and 312.75 is: 465.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.38 : 493.74 = 312.75 : x
  2. Step 2: Convert to fraction form
    331.38/493.74 = 312.75/x
  3. Step 3: Cross multiply
    331.38x = 493.74 × 312.75
  4. Step 4: Simplify right side
    331.38x = 154,417.19
  5. Step 5: Solve for x
    x = 154,417.19/331.38
  6. Step 6: Final answer
    x = 465.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.