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Finding the Fourth Proportional to 500.37, 745.93 and 492.48

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Solution

The fourth proportional to 500.37, 745.93 and 492.48 is: 734.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.37 : 745.93 = 492.48 : x
  2. Step 2: Convert to fraction form
    500.37/745.93 = 492.48/x
  3. Step 3: Cross multiply
    500.37x = 745.93 × 492.48
  4. Step 4: Simplify right side
    500.37x = 367,355.61
  5. Step 5: Solve for x
    x = 367,355.61/500.37
  6. Step 6: Final answer
    x = 734.17

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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.