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Finding the Fourth Proportional to 279.02, 416.28 and 233.46

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Solution

The fourth proportional to 279.02, 416.28 and 233.46 is: 348.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.02 : 416.28 = 233.46 : x
  2. Step 2: Convert to fraction form
    279.02/416.28 = 233.46/x
  3. Step 3: Cross multiply
    279.02x = 416.28 × 233.46
  4. Step 4: Simplify right side
    279.02x = 97,184.73
  5. Step 5: Solve for x
    x = 97,184.73/279.02
  6. Step 6: Final answer
    x = 348.31

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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.