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Finding the Fourth Proportional to 416.92, 575.40 and 261.64

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Solution

The fourth proportional to 416.92, 575.40 and 261.64 is: 361.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.92 : 575.40 = 261.64 : x
  2. Step 2: Convert to fraction form
    416.92/575.40 = 261.64/x
  3. Step 3: Cross multiply
    416.92x = 575.40 × 261.64
  4. Step 4: Simplify right side
    416.92x = 150,547.66
  5. Step 5: Solve for x
    x = 150,547.66/416.92
  6. Step 6: Final answer
    x = 361.09

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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.