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Finding the Fourth Proportional to 507.23, 760.50 and 409.85

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Solution

The fourth proportional to 507.23, 760.50 and 409.85 is: 614.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.23 : 760.50 = 409.85 : x
  2. Step 2: Convert to fraction form
    507.23/760.50 = 409.85/x
  3. Step 3: Cross multiply
    507.23x = 760.50 × 409.85
  4. Step 4: Simplify right side
    507.23x = 311,687.12
  5. Step 5: Solve for x
    x = 311,687.12/507.23
  6. Step 6: Final answer
    x = 614.49

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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.