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Finding the Fourth Proportional to 740.81, 1,022.30 and 409.24

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Solution

The fourth proportional to 740.81, 1,022.30 and 409.24 is: 564.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.81 : 1,022.30 = 409.24 : x
  2. Step 2: Convert to fraction form
    740.81/1,022.30 = 409.24/x
  3. Step 3: Cross multiply
    740.81x = 1,022.30 × 409.24
  4. Step 4: Simplify right side
    740.81x = 418,366.05
  5. Step 5: Solve for x
    x = 418,366.05/740.81
  6. Step 6: Final answer
    x = 564.74

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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.