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Finding the Fourth Proportional to 412.51, 569.25 and 226.00

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Solution

The fourth proportional to 412.51, 569.25 and 226.00 is: 311.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.51 : 569.25 = 226.00 : x
  2. Step 2: Convert to fraction form
    412.51/569.25 = 226.00/x
  3. Step 3: Cross multiply
    412.51x = 569.25 × 226.00
  4. Step 4: Simplify right side
    412.51x = 128,646.52
  5. Step 5: Solve for x
    x = 128,646.52/412.51
  6. Step 6: Final answer
    x = 311.86

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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.