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Finding the Fourth Proportional to 497.01, 745.78 and 189.08

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Solution

The fourth proportional to 497.01, 745.78 and 189.08 is: 283.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.01 : 745.78 = 189.08 : x
  2. Step 2: Convert to fraction form
    497.01/745.78 = 189.08/x
  3. Step 3: Cross multiply
    497.01x = 745.78 × 189.08
  4. Step 4: Simplify right side
    497.01x = 141,012.08
  5. Step 5: Solve for x
    x = 141,012.08/497.01
  6. Step 6: Final answer
    x = 283.72

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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.