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Finding the Fourth Proportional to 497.40, 745.62 and 237.54

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Solution

The fourth proportional to 497.40, 745.62 and 237.54 is: 356.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.40 : 745.62 = 237.54 : x
  2. Step 2: Convert to fraction form
    497.40/745.62 = 237.54/x
  3. Step 3: Cross multiply
    497.40x = 745.62 × 237.54
  4. Step 4: Simplify right side
    497.40x = 177,114.57
  5. Step 5: Solve for x
    x = 177,114.57/497.40
  6. Step 6: Final answer
    x = 356.08

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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.