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Finding the Fourth Proportional to 419.54, 578.91 and 233.00

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Solution

The fourth proportional to 419.54, 578.91 and 233.00 is: 321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.54 : 578.91 = 233.00 : x
  2. Step 2: Convert to fraction form
    419.54/578.91 = 233.00/x
  3. Step 3: Cross multiply
    419.54x = 578.91 × 233.00
  4. Step 4: Simplify right side
    419.54x = 134,887.04
  5. Step 5: Solve for x
    x = 134,887.04/419.54
  6. Step 6: Final answer
    x = 321.51

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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.