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Finding the Fourth Proportional to 360.24, 496.64 and 262

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Solution

The fourth proportional to 360.24, 496.64 and 262 is: 361.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.24 : 496.64 = 262 : x
  2. Step 2: Convert to fraction form
    360.24/496.64 = 262/x
  3. Step 3: Cross multiply
    360.24x = 496.64 × 262
  4. Step 4: Simplify right side
    360.24x = 130,119.68
  5. Step 5: Solve for x
    x = 130,119.68/360.24
  6. Step 6: Final answer
    x = 361.20

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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.