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Finding the Fourth Proportional to 349.97, 482.82 and 322.34

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Solution

The fourth proportional to 349.97, 482.82 and 322.34 is: 444.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.97 : 482.82 = 322.34 : x
  2. Step 2: Convert to fraction form
    349.97/482.82 = 322.34/x
  3. Step 3: Cross multiply
    349.97x = 482.82 × 322.34
  4. Step 4: Simplify right side
    349.97x = 155,632.20
  5. Step 5: Solve for x
    x = 155,632.20/349.97
  6. Step 6: Final answer
    x = 444.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.