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Finding the Fourth Proportional to 507.97, 760.99 and 301.92

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Solution

The fourth proportional to 507.97, 760.99 and 301.92 is: 452.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.97 : 760.99 = 301.92 : x
  2. Step 2: Convert to fraction form
    507.97/760.99 = 301.92/x
  3. Step 3: Cross multiply
    507.97x = 760.99 × 301.92
  4. Step 4: Simplify right side
    507.97x = 229,753.74
  5. Step 5: Solve for x
    x = 229,753.74/507.97
  6. Step 6: Final answer
    x = 452.30

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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.