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Finding the Fourth Proportional to 349.67, 482.32 and 218.45

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Solution

The fourth proportional to 349.67, 482.32 and 218.45 is: 301.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.67 : 482.32 = 218.45 : x
  2. Step 2: Convert to fraction form
    349.67/482.32 = 218.45/x
  3. Step 3: Cross multiply
    349.67x = 482.32 × 218.45
  4. Step 4: Simplify right side
    349.67x = 105,364.28
  5. Step 5: Solve for x
    x = 105,364.28/349.67
  6. Step 6: Final answer
    x = 301.32

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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.