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Finding the Fourth Proportional to 559.71, 772.26 and 416.04

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Solution

The fourth proportional to 559.71, 772.26 and 416.04 is: 574.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.71 : 772.26 = 416.04 : x
  2. Step 2: Convert to fraction form
    559.71/772.26 = 416.04/x
  3. Step 3: Cross multiply
    559.71x = 772.26 × 416.04
  4. Step 4: Simplify right side
    559.71x = 321,291.05
  5. Step 5: Solve for x
    x = 321,291.05/559.71
  6. Step 6: Final answer
    x = 574.03

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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.