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Finding the Fourth Proportional to 507.74, 761.62 and 264.09

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Solution

The fourth proportional to 507.74, 761.62 and 264.09 is: 396.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.74 : 761.62 = 264.09 : x
  2. Step 2: Convert to fraction form
    507.74/761.62 = 264.09/x
  3. Step 3: Cross multiply
    507.74x = 761.62 × 264.09
  4. Step 4: Simplify right side
    507.74x = 201,138.42
  5. Step 5: Solve for x
    x = 201,138.42/507.74
  6. Step 6: Final answer
    x = 396.14

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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.