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Finding the Fourth Proportional to 411.13, 613.58 and 400.19

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Solution

The fourth proportional to 411.13, 613.58 and 400.19 is: 597.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.13 : 613.58 = 400.19 : x
  2. Step 2: Convert to fraction form
    411.13/613.58 = 400.19/x
  3. Step 3: Cross multiply
    411.13x = 613.58 × 400.19
  4. Step 4: Simplify right side
    411.13x = 245,546.96
  5. Step 5: Solve for x
    x = 245,546.96/411.13
  6. Step 6: Final answer
    x = 597.26

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Why These Related Problems?

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