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Finding the Fourth Proportional to 506.48, 760.13 and 263.08

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Solution

The fourth proportional to 506.48, 760.13 and 263.08 is: 394.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.48 : 760.13 = 263.08 : x
  2. Step 2: Convert to fraction form
    506.48/760.13 = 263.08/x
  3. Step 3: Cross multiply
    506.48x = 760.13 × 263.08
  4. Step 4: Simplify right side
    506.48x = 199,973.76
  5. Step 5: Solve for x
    x = 199,973.76/506.48
  6. Step 6: Final answer
    x = 394.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.