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Finding the Fourth Proportional to 498.52, 745.13 and 367.77

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Solution

The fourth proportional to 498.52, 745.13 and 367.77 is: 549.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.52 : 745.13 = 367.77 : x
  2. Step 2: Convert to fraction form
    498.52/745.13 = 367.77/x
  3. Step 3: Cross multiply
    498.52x = 745.13 × 367.77
  4. Step 4: Simplify right side
    498.52x = 274,040.17
  5. Step 5: Solve for x
    x = 274,040.17/498.52
  6. Step 6: Final answer
    x = 549.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.