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Finding the Fourth Proportional to 414.32, 570.84 and 361.46

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Solution

The fourth proportional to 414.32, 570.84 and 361.46 is: 498.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.32 : 570.84 = 361.46 : x
  2. Step 2: Convert to fraction form
    414.32/570.84 = 361.46/x
  3. Step 3: Cross multiply
    414.32x = 570.84 × 361.46
  4. Step 4: Simplify right side
    414.32x = 206,335.83
  5. Step 5: Solve for x
    x = 206,335.83/414.32
  6. Step 6: Final answer
    x = 498.01

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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.