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Finding the Fourth Proportional to 322.00, 482.77 and 229.45

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Solution

The fourth proportional to 322.00, 482.77 and 229.45 is: 344.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.00 : 482.77 = 229.45 : x
  2. Step 2: Convert to fraction form
    322.00/482.77 = 229.45/x
  3. Step 3: Cross multiply
    322.00x = 482.77 × 229.45
  4. Step 4: Simplify right side
    322.00x = 110,769.41
  5. Step 5: Solve for x
    x = 110,769.41/322.00
  6. Step 6: Final answer
    x = 344.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.