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Finding the Fourth Proportional to 414.32, 570.80 and 289.76

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Solution

The fourth proportional to 414.32, 570.80 and 289.76 is: 399.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.32 : 570.80 = 289.76 : x
  2. Step 2: Convert to fraction form
    414.32/570.80 = 289.76/x
  3. Step 3: Cross multiply
    414.32x = 570.80 × 289.76
  4. Step 4: Simplify right side
    414.32x = 165,395.01
  5. Step 5: Solve for x
    x = 165,395.01/414.32
  6. Step 6: Final answer
    x = 399.20

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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.