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Finding the Fourth Proportional to 508.77, 761.52 and 264.96

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Solution

The fourth proportional to 508.77, 761.52 and 264.96 is: 396.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.77 : 761.52 = 264.96 : x
  2. Step 2: Convert to fraction form
    508.77/761.52 = 264.96/x
  3. Step 3: Cross multiply
    508.77x = 761.52 × 264.96
  4. Step 4: Simplify right side
    508.77x = 201,772.34
  5. Step 5: Solve for x
    x = 201,772.34/508.77
  6. Step 6: Final answer
    x = 396.59

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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.