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Finding the Fourth Proportional to 507.88, 762.09 and 219.25

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Solution

The fourth proportional to 507.88, 762.09 and 219.25 is: 328.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.88 : 762.09 = 219.25 : x
  2. Step 2: Convert to fraction form
    507.88/762.09 = 219.25/x
  3. Step 3: Cross multiply
    507.88x = 762.09 × 219.25
  4. Step 4: Simplify right side
    507.88x = 167,088.23
  5. Step 5: Solve for x
    x = 167,088.23/507.88
  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.