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Finding the Fourth Proportional to 497.30, 745.65 and 189.09

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Solution

The fourth proportional to 497.30, 745.65 and 189.09 is: 283.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.30 : 745.65 = 189.09 : x
  2. Step 2: Convert to fraction form
    497.30/745.65 = 189.09/x
  3. Step 3: Cross multiply
    497.30x = 745.65 × 189.09
  4. Step 4: Simplify right side
    497.30x = 140,994.96
  5. Step 5: Solve for x
    x = 140,994.96/497.30
  6. Step 6: Final answer
    x = 283.52

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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.