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Finding the Fourth Proportional to 412.35, 569.06 and 225.84

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Solution

The fourth proportional to 412.35, 569.06 and 225.84 is: 311.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.35 : 569.06 = 225.84 : x
  2. Step 2: Convert to fraction form
    412.35/569.06 = 225.84/x
  3. Step 3: Cross multiply
    412.35x = 569.06 × 225.84
  4. Step 4: Simplify right side
    412.35x = 128,516.51
  5. Step 5: Solve for x
    x = 128,516.51/412.35
  6. Step 6: Final answer
    x = 311.67

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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.