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Finding the Fourth Proportional to 467.62, 646.32 and 350.98

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Solution

The fourth proportional to 467.62, 646.32 and 350.98 is: 485.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.62 : 646.32 = 350.98 : x
  2. Step 2: Convert to fraction form
    467.62/646.32 = 350.98/x
  3. Step 3: Cross multiply
    467.62x = 646.32 × 350.98
  4. Step 4: Simplify right side
    467.62x = 226,845.39
  5. Step 5: Solve for x
    x = 226,845.39/467.62
  6. Step 6: Final answer
    x = 485.11

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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.