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Finding the Fourth Proportional to 496.24, 744.40 and 366.40

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Solution

The fourth proportional to 496.24, 744.40 and 366.40 is: 549.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.24 : 744.40 = 366.40 : x
  2. Step 2: Convert to fraction form
    496.24/744.40 = 366.40/x
  3. Step 3: Cross multiply
    496.24x = 744.40 × 366.40
  4. Step 4: Simplify right side
    496.24x = 272,748.16
  5. Step 5: Solve for x
    x = 272,748.16/496.24
  6. Step 6: Final answer
    x = 549.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.