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Finding the Fourth Proportional to 414.22, 567.12 and 410.26

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Solution

The fourth proportional to 414.22, 567.12 and 410.26 is: 561.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.22 : 567.12 = 410.26 : x
  2. Step 2: Convert to fraction form
    414.22/567.12 = 410.26/x
  3. Step 3: Cross multiply
    414.22x = 567.12 × 410.26
  4. Step 4: Simplify right side
    414.22x = 232,666.65
  5. Step 5: Solve for x
    x = 232,666.65/414.22
  6. Step 6: Final answer
    x = 561.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.