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Finding the Fourth Proportional to 349.90, 483.90 and 306.16

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Solution

The fourth proportional to 349.90, 483.90 and 306.16 is: 423.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.90 : 483.90 = 306.16 : x
  2. Step 2: Convert to fraction form
    349.90/483.90 = 306.16/x
  3. Step 3: Cross multiply
    349.90x = 483.90 × 306.16
  4. Step 4: Simplify right side
    349.90x = 148,150.82
  5. Step 5: Solve for x
    x = 148,150.82/349.90
  6. Step 6: Final answer
    x = 423.41

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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.