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Finding the Fourth Proportional to 507.70, 761.19 and 219.22

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Solution

The fourth proportional to 507.70, 761.19 and 219.22 is: 328.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.70 : 761.19 = 219.22 : x
  2. Step 2: Convert to fraction form
    507.70/761.19 = 219.22/x
  3. Step 3: Cross multiply
    507.70x = 761.19 × 219.22
  4. Step 4: Simplify right side
    507.70x = 166,868.07
  5. Step 5: Solve for x
    x = 166,868.07/507.70
  6. Step 6: Final answer
    x = 328.67

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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.