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Finding the Fourth Proportional to 419.23, 578.54 and 232.72

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Solution

The fourth proportional to 419.23, 578.54 and 232.72 is: 321.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.23 : 578.54 = 232.72 : x
  2. Step 2: Convert to fraction form
    419.23/578.54 = 232.72/x
  3. Step 3: Cross multiply
    419.23x = 578.54 × 232.72
  4. Step 4: Simplify right side
    419.23x = 134,637.25
  5. Step 5: Solve for x
    x = 134,637.25/419.23
  6. Step 6: Final answer
    x = 321.16

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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.