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Finding the Fourth Proportional to 497.07, 746.03 and 237.25

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Solution

The fourth proportional to 497.07, 746.03 and 237.25 is: 356.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.07 : 746.03 = 237.25 : x
  2. Step 2: Convert to fraction form
    497.07/746.03 = 237.25/x
  3. Step 3: Cross multiply
    497.07x = 746.03 × 237.25
  4. Step 4: Simplify right side
    497.07x = 176,991.61
  5. Step 5: Solve for x
    x = 176,991.61/497.07
  6. Step 6: Final answer
    x = 356.07

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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.