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Finding the Fourth Proportional to 292.46, 402.73 and 261.36

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Solution

The fourth proportional to 292.46, 402.73 and 261.36 is: 359.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.46 : 402.73 = 261.36 : x
  2. Step 2: Convert to fraction form
    292.46/402.73 = 261.36/x
  3. Step 3: Cross multiply
    292.46x = 402.73 × 261.36
  4. Step 4: Simplify right side
    292.46x = 105,260.40
  5. Step 5: Solve for x
    x = 105,260.40/292.46
  6. Step 6: Final answer
    x = 359.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.