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Finding the Fourth Proportional to 506.61, 756.56 and 409.23

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Solution

The fourth proportional to 506.61, 756.56 and 409.23 is: 611.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.61 : 756.56 = 409.23 : x
  2. Step 2: Convert to fraction form
    506.61/756.56 = 409.23/x
  3. Step 3: Cross multiply
    506.61x = 756.56 × 409.23
  4. Step 4: Simplify right side
    506.61x = 309,608.07
  5. Step 5: Solve for x
    x = 309,608.07/506.61
  6. Step 6: Final answer
    x = 611.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.