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Finding the Fourth Proportional to 416.40, 574.56 and 261.06

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Solution

The fourth proportional to 416.40, 574.56 and 261.06 is: 360.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.40 : 574.56 = 261.06 : x
  2. Step 2: Convert to fraction form
    416.40/574.56 = 261.06/x
  3. Step 3: Cross multiply
    416.40x = 574.56 × 261.06
  4. Step 4: Simplify right side
    416.40x = 149,994.63
  5. Step 5: Solve for x
    x = 149,994.63/416.40
  6. Step 6: Final answer
    x = 360.22

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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.