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Finding the Fourth Proportional to 508.42, 762.03 and 219.50

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Solution

The fourth proportional to 508.42, 762.03 and 219.50 is: 328.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.42 : 762.03 = 219.50 : x
  2. Step 2: Convert to fraction form
    508.42/762.03 = 219.50/x
  3. Step 3: Cross multiply
    508.42x = 762.03 × 219.50
  4. Step 4: Simplify right side
    508.42x = 167,265.59
  5. Step 5: Solve for x
    x = 167,265.59/508.42
  6. Step 6: Final answer
    x = 328.99

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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.