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Finding the Fourth Proportional to 412.36, 569.36 and 323.70

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Solution

The fourth proportional to 412.36, 569.36 and 323.70 is: 446.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.36 : 569.36 = 323.70 : x
  2. Step 2: Convert to fraction form
    412.36/569.36 = 323.70/x
  3. Step 3: Cross multiply
    412.36x = 569.36 × 323.70
  4. Step 4: Simplify right side
    412.36x = 184,300.51
  5. Step 5: Solve for x
    x = 184,300.51/412.36
  6. Step 6: Final answer
    x = 446.94

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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.