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Finding the Fourth Proportional to 414.09, 567.95 and 364.89

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Solution

The fourth proportional to 414.09, 567.95 and 364.89 is: 500.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.09 : 567.95 = 364.89 : x
  2. Step 2: Convert to fraction form
    414.09/567.95 = 364.89/x
  3. Step 3: Cross multiply
    414.09x = 567.95 × 364.89
  4. Step 4: Simplify right side
    414.09x = 207,237.45
  5. Step 5: Solve for x
    x = 207,237.45/414.09
  6. Step 6: Final answer
    x = 500.46

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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.