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Finding the Fourth Proportional to 414, 570.08 and 282.78

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Solution

The fourth proportional to 414, 570.08 and 282.78 is: 389.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    414 : 570.08 = 282.78 : x
  2. Step 2: Convert to fraction form
    414/570.08 = 282.78/x
  3. Step 3: Cross multiply
    414x = 570.08 × 282.78
  4. Step 4: Simplify right side
    414x = 161,205.81
  5. Step 5: Solve for x
    x = 161,205.81/414
  6. Step 6: Final answer
    x = 389.39

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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.