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Finding the Fourth Proportional to 497.67, 746.55 and 189.51

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Solution

The fourth proportional to 497.67, 746.55 and 189.51 is: 284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.67 : 746.55 = 189.51 : x
  2. Step 2: Convert to fraction form
    497.67/746.55 = 189.51/x
  3. Step 3: Cross multiply
    497.67x = 746.55 × 189.51
  4. Step 4: Simplify right side
    497.67x = 141,478.69
  5. Step 5: Solve for x
    x = 141,478.69/497.67
  6. Step 6: Final answer
    x = 284.28

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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.