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Finding the Fourth Proportional to 540.79, 746 and 409.57

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Solution

The fourth proportional to 540.79, 746 and 409.57 is: 564.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.79 : 746 = 409.57 : x
  2. Step 2: Convert to fraction form
    540.79/746 = 409.57/x
  3. Step 3: Cross multiply
    540.79x = 746 × 409.57
  4. Step 4: Simplify right side
    540.79x = 305,539.22
  5. Step 5: Solve for x
    x = 305,539.22/540.79
  6. Step 6: Final answer
    x = 564.99

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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.