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Finding the Fourth Proportional to 419.32, 578.65 and 232.82

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Solution

The fourth proportional to 419.32, 578.65 and 232.82 is: 321.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.32 : 578.65 = 232.82 : x
  2. Step 2: Convert to fraction form
    419.32/578.65 = 232.82/x
  3. Step 3: Cross multiply
    419.32x = 578.65 × 232.82
  4. Step 4: Simplify right side
    419.32x = 134,719.26
  5. Step 5: Solve for x
    x = 134,719.26/419.32
  6. Step 6: Final answer
    x = 321.28

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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.