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Finding the Fourth Proportional to 507.24, 759.95 and 264.04

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Solution

The fourth proportional to 507.24, 759.95 and 264.04 is: 395.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.24 : 759.95 = 264.04 : x
  2. Step 2: Convert to fraction form
    507.24/759.95 = 264.04/x
  3. Step 3: Cross multiply
    507.24x = 759.95 × 264.04
  4. Step 4: Simplify right side
    507.24x = 200,654.97
  5. Step 5: Solve for x
    x = 200,654.97/507.24
  6. Step 6: Final answer
    x = 395.58

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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.