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Finding the Fourth Proportional to 412.31, 569.00 and 225.81

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Solution

The fourth proportional to 412.31, 569.00 and 225.81 is: 311.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.31 : 569.00 = 225.81 : x
  2. Step 2: Convert to fraction form
    412.31/569.00 = 225.81/x
  3. Step 3: Cross multiply
    412.31x = 569.00 × 225.81
  4. Step 4: Simplify right side
    412.31x = 128,484.76
  5. Step 5: Solve for x
    x = 128,484.76/412.31
  6. Step 6: Final answer
    x = 311.62

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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.