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Finding the Fourth Proportional to 294.06, 403.56 and 266.37

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Solution

The fourth proportional to 294.06, 403.56 and 266.37 is: 365.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.06 : 403.56 = 266.37 : x
  2. Step 2: Convert to fraction form
    294.06/403.56 = 266.37/x
  3. Step 3: Cross multiply
    294.06x = 403.56 × 266.37
  4. Step 4: Simplify right side
    294.06x = 107,496.28
  5. Step 5: Solve for x
    x = 107,496.28/294.06
  6. Step 6: Final answer
    x = 365.56

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Why These Related Problems?

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