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Finding the Fourth Proportional to 360.04, 496.58 and 212.56

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Solution

The fourth proportional to 360.04, 496.58 and 212.56 is: 293.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.04 : 496.58 = 212.56 : x
  2. Step 2: Convert to fraction form
    360.04/496.58 = 212.56/x
  3. Step 3: Cross multiply
    360.04x = 496.58 × 212.56
  4. Step 4: Simplify right side
    360.04x = 105,553.04
  5. Step 5: Solve for x
    x = 105,553.04/360.04
  6. Step 6: Final answer
    x = 293.17

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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.