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Finding the Fourth Proportional to 416.94, 569.55 and 414.24

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Solution

The fourth proportional to 416.94, 569.55 and 414.24 is: 565.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.94 : 569.55 = 414.24 : x
  2. Step 2: Convert to fraction form
    416.94/569.55 = 414.24/x
  3. Step 3: Cross multiply
    416.94x = 569.55 × 414.24
  4. Step 4: Simplify right side
    416.94x = 235,930.39
  5. Step 5: Solve for x
    x = 235,930.39/416.94
  6. Step 6: Final answer
    x = 565.86

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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.