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Finding the Fourth Proportional to 412.32, 569.04 and 324.80

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Solution

The fourth proportional to 412.32, 569.04 and 324.80 is: 448.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.32 : 569.04 = 324.80 : x
  2. Step 2: Convert to fraction form
    412.32/569.04 = 324.80/x
  3. Step 3: Cross multiply
    412.32x = 569.04 × 324.80
  4. Step 4: Simplify right side
    412.32x = 184,824.19
  5. Step 5: Solve for x
    x = 184,824.19/412.32
  6. Step 6: Final answer
    x = 448.25

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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.