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Finding the Fourth Proportional to 412.53, 569.30 and 226.02

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Solution

The fourth proportional to 412.53, 569.30 and 226.02 is: 311.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.53 : 569.30 = 226.02 : x
  2. Step 2: Convert to fraction form
    412.53/569.30 = 226.02/x
  3. Step 3: Cross multiply
    412.53x = 569.30 × 226.02
  4. Step 4: Simplify right side
    412.53x = 128,672.06
  5. Step 5: Solve for x
    x = 128,672.06/412.53
  6. Step 6: Final answer
    x = 311.91

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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.