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Finding the Fourth Proportional to 497.23, 744.30 and 367.38

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Solution

The fourth proportional to 497.23, 744.30 and 367.38 is: 549.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.23 : 744.30 = 367.38 : x
  2. Step 2: Convert to fraction form
    497.23/744.30 = 367.38/x
  3. Step 3: Cross multiply
    497.23x = 744.30 × 367.38
  4. Step 4: Simplify right side
    497.23x = 273,440.93
  5. Step 5: Solve for x
    x = 273,440.93/497.23
  6. Step 6: Final answer
    x = 549.93

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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.