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Finding the Fourth Proportional to 506.53, 759.99 and 409.93

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Solution

The fourth proportional to 506.53, 759.99 and 409.93 is: 615.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.53 : 759.99 = 409.93 : x
  2. Step 2: Convert to fraction form
    506.53/759.99 = 409.93/x
  3. Step 3: Cross multiply
    506.53x = 759.99 × 409.93
  4. Step 4: Simplify right side
    506.53x = 311,542.70
  5. Step 5: Solve for x
    x = 311,542.70/506.53
  6. Step 6: Final answer
    x = 615.05

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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.