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Finding the Fourth Proportional to 507.98, 762.15 and 234.08

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Solution

The fourth proportional to 507.98, 762.15 and 234.08 is: 351.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.98 : 762.15 = 234.08 : x
  2. Step 2: Convert to fraction form
    507.98/762.15 = 234.08/x
  3. Step 3: Cross multiply
    507.98x = 762.15 × 234.08
  4. Step 4: Simplify right side
    507.98x = 178,404.07
  5. Step 5: Solve for x
    x = 178,404.07/507.98
  6. Step 6: Final answer
    x = 351.20

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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.