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Finding the Fourth Proportional to 414.58, 571.86 and 316.12

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Solution

The fourth proportional to 414.58, 571.86 and 316.12 is: 436.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.58 : 571.86 = 316.12 : x
  2. Step 2: Convert to fraction form
    414.58/571.86 = 316.12/x
  3. Step 3: Cross multiply
    414.58x = 571.86 × 316.12
  4. Step 4: Simplify right side
    414.58x = 180,776.38
  5. Step 5: Solve for x
    x = 180,776.38/414.58
  6. Step 6: Final answer
    x = 436.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.