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Finding the Fourth Proportional to 306.02, 456.80 and 269.58

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Solution

The fourth proportional to 306.02, 456.80 and 269.58 is: 402.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.02 : 456.80 = 269.58 : x
  2. Step 2: Convert to fraction form
    306.02/456.80 = 269.58/x
  3. Step 3: Cross multiply
    306.02x = 456.80 × 269.58
  4. Step 4: Simplify right side
    306.02x = 123,144.14
  5. Step 5: Solve for x
    x = 123,144.14/306.02
  6. Step 6: Final answer
    x = 402.41

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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.