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Finding the Fourth Proportional to 412.04, 568.58 and 225.48

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Solution

The fourth proportional to 412.04, 568.58 and 225.48 is: 311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.04 : 568.58 = 225.48 : x
  2. Step 2: Convert to fraction form
    412.04/568.58 = 225.48/x
  3. Step 3: Cross multiply
    412.04x = 568.58 × 225.48
  4. Step 4: Simplify right side
    412.04x = 128,202.29
  5. Step 5: Solve for x
    x = 128,202.29/412.04
  6. Step 6: Final answer
    x = 311.14

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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.