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Finding the Fourth Proportional to 330.56, 493.70 and 262.16

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Solution

The fourth proportional to 330.56, 493.70 and 262.16 is: 391.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.56 : 493.70 = 262.16 : x
  2. Step 2: Convert to fraction form
    330.56/493.70 = 262.16/x
  3. Step 3: Cross multiply
    330.56x = 493.70 × 262.16
  4. Step 4: Simplify right side
    330.56x = 129,428.39
  5. Step 5: Solve for x
    x = 129,428.39/330.56
  6. Step 6: Final answer
    x = 391.54

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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.