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Finding the Fourth Proportional to 508.14, 761.76 and 219.42

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Solution

The fourth proportional to 508.14, 761.76 and 219.42 is: 328.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.14 : 761.76 = 219.42 : x
  2. Step 2: Convert to fraction form
    508.14/761.76 = 219.42/x
  3. Step 3: Cross multiply
    508.14x = 761.76 × 219.42
  4. Step 4: Simplify right side
    508.14x = 167,145.38
  5. Step 5: Solve for x
    x = 167,145.38/508.14
  6. Step 6: Final answer
    x = 328.94

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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.