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Finding the Fourth Proportional to 294.03, 403.79 and 261.27

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Solution

The fourth proportional to 294.03, 403.79 and 261.27 is: 358.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.03 : 403.79 = 261.27 : x
  2. Step 2: Convert to fraction form
    294.03/403.79 = 261.27/x
  3. Step 3: Cross multiply
    294.03x = 403.79 × 261.27
  4. Step 4: Simplify right side
    294.03x = 105,496.91
  5. Step 5: Solve for x
    x = 105,496.91/294.03
  6. Step 6: Final answer
    x = 358.80

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.