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Finding the Fourth Proportional to 507.89, 761.20 and 288.69

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Solution

The fourth proportional to 507.89, 761.20 and 288.69 is: 432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.89 : 761.20 = 288.69 : x
  2. Step 2: Convert to fraction form
    507.89/761.20 = 288.69/x
  3. Step 3: Cross multiply
    507.89x = 761.20 × 288.69
  4. Step 4: Simplify right side
    507.89x = 219,755.54
  5. Step 5: Solve for x
    x = 219,755.54/507.89
  6. Step 6: Final answer
    x = 432.69

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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.