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Finding the Fourth Proportional to 508.41, 761.94 and 264.42

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Solution

The fourth proportional to 508.41, 761.94 and 264.42 is: 396.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.41 : 761.94 = 264.42 : x
  2. Step 2: Convert to fraction form
    508.41/761.94 = 264.42/x
  3. Step 3: Cross multiply
    508.41x = 761.94 × 264.42
  4. Step 4: Simplify right side
    508.41x = 201,472.17
  5. Step 5: Solve for x
    x = 201,472.17/508.41
  6. Step 6: Final answer
    x = 396.28

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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.