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Finding the Fourth Proportional to 507.12, 759.96 and 263.13

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Solution

The fourth proportional to 507.12, 759.96 and 263.13 is: 394.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.12 : 759.96 = 263.13 : x
  2. Step 2: Convert to fraction form
    507.12/759.96 = 263.13/x
  3. Step 3: Cross multiply
    507.12x = 759.96 × 263.13
  4. Step 4: Simplify right side
    507.12x = 199,968.27
  5. Step 5: Solve for x
    x = 199,968.27/507.12
  6. Step 6: Final answer
    x = 394.32

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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.