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Finding the Fourth Proportional to 507.67, 761.47 and 264.33

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Solution

The fourth proportional to 507.67, 761.47 and 264.33 is: 396.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.67 : 761.47 = 264.33 : x
  2. Step 2: Convert to fraction form
    507.67/761.47 = 264.33/x
  3. Step 3: Cross multiply
    507.67x = 761.47 × 264.33
  4. Step 4: Simplify right side
    507.67x = 201,278.70
  5. Step 5: Solve for x
    x = 201,278.70/507.67
  6. Step 6: Final answer
    x = 396.48

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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.