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Finding the Fourth Proportional to 497.42, 745.87 and 266.26

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Solution

The fourth proportional to 497.42, 745.87 and 266.26 is: 399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.42 : 745.87 = 266.26 : x
  2. Step 2: Convert to fraction form
    497.42/745.87 = 266.26/x
  3. Step 3: Cross multiply
    497.42x = 745.87 × 266.26
  4. Step 4: Simplify right side
    497.42x = 198,595.35
  5. Step 5: Solve for x
    x = 198,595.35/497.42
  6. Step 6: Final answer
    x = 399.25

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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.