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Finding the Fourth Proportional to 497.47, 745.94 and 237.54

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Solution

The fourth proportional to 497.47, 745.94 and 237.54 is: 356.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.47 : 745.94 = 237.54 : x
  2. Step 2: Convert to fraction form
    497.47/745.94 = 237.54/x
  3. Step 3: Cross multiply
    497.47x = 745.94 × 237.54
  4. Step 4: Simplify right side
    497.47x = 177,189.81
  5. Step 5: Solve for x
    x = 177,189.81/497.47
  6. Step 6: Final answer
    x = 356.18

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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.