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Finding the Fourth Proportional to 414.62, 569.12 and 366.95

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Solution

The fourth proportional to 414.62, 569.12 and 366.95 is: 503.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.62 : 569.12 = 366.95 : x
  2. Step 2: Convert to fraction form
    414.62/569.12 = 366.95/x
  3. Step 3: Cross multiply
    414.62x = 569.12 × 366.95
  4. Step 4: Simplify right side
    414.62x = 208,840.24
  5. Step 5: Solve for x
    x = 208,840.24/414.62
  6. Step 6: Final answer
    x = 503.69

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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.