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Finding the Fourth Proportional to 507.68, 761.86 and 219.14

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Solution

The fourth proportional to 507.68, 761.86 and 219.14 is: 328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.68 : 761.86 = 219.14 : x
  2. Step 2: Convert to fraction form
    507.68/761.86 = 219.14/x
  3. Step 3: Cross multiply
    507.68x = 761.86 × 219.14
  4. Step 4: Simplify right side
    507.68x = 166,954.00
  5. Step 5: Solve for x
    x = 166,954.00/507.68
  6. Step 6: Final answer
    x = 328.86

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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.