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Finding the Fourth Proportional to 507.87, 700.74 and 321.03

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Solution

The fourth proportional to 507.87, 700.74 and 321.03 is: 442.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.87 : 700.74 = 321.03 : x
  2. Step 2: Convert to fraction form
    507.87/700.74 = 321.03/x
  3. Step 3: Cross multiply
    507.87x = 700.74 × 321.03
  4. Step 4: Simplify right side
    507.87x = 224,958.56
  5. Step 5: Solve for x
    x = 224,958.56/507.87
  6. Step 6: Final answer
    x = 442.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.