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Finding the Fourth Proportional to 414, 570.96 and 340.80

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Solution

The fourth proportional to 414, 570.96 and 340.80 is: 470.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    414 : 570.96 = 340.80 : x
  2. Step 2: Convert to fraction form
    414/570.96 = 340.80/x
  3. Step 3: Cross multiply
    414x = 570.96 × 340.80
  4. Step 4: Simplify right side
    414x = 194,583.17
  5. Step 5: Solve for x
    x = 194,583.17/414
  6. Step 6: Final answer
    x = 470.01

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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.