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Finding the Fourth Proportional to 360.46, 498.23 and 262.90

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Solution

The fourth proportional to 360.46, 498.23 and 262.90 is: 363.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.46 : 498.23 = 262.90 : x
  2. Step 2: Convert to fraction form
    360.46/498.23 = 262.90/x
  3. Step 3: Cross multiply
    360.46x = 498.23 × 262.90
  4. Step 4: Simplify right side
    360.46x = 130,984.67
  5. Step 5: Solve for x
    x = 130,984.67/360.46
  6. Step 6: Final answer
    x = 363.38

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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.