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Finding the Fourth Proportional to 497.75, 746.66 and 155.75

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Solution

The fourth proportional to 497.75, 746.66 and 155.75 is: 233.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.75 : 746.66 = 155.75 : x
  2. Step 2: Convert to fraction form
    497.75/746.66 = 155.75/x
  3. Step 3: Cross multiply
    497.75x = 746.66 × 155.75
  4. Step 4: Simplify right side
    497.75x = 116,291.52
  5. Step 5: Solve for x
    x = 116,291.52/497.75
  6. Step 6: Final answer
    x = 233.63

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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.