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Finding the Fourth Proportional to 330.58, 494 and 269.77

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Solution

The fourth proportional to 330.58, 494 and 269.77 is: 403.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.58 : 494 = 269.77 : x
  2. Step 2: Convert to fraction form
    330.58/494 = 269.77/x
  3. Step 3: Cross multiply
    330.58x = 494 × 269.77
  4. Step 4: Simplify right side
    330.58x = 133,266.38
  5. Step 5: Solve for x
    x = 133,266.38/330.58
  6. Step 6: Final answer
    x = 403.13

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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.