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Finding the Fourth Proportional to 467.47, 646.28 and 350.83

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Solution

The fourth proportional to 467.47, 646.28 and 350.83 is: 485.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.47 : 646.28 = 350.83 : x
  2. Step 2: Convert to fraction form
    467.47/646.28 = 350.83/x
  3. Step 3: Cross multiply
    467.47x = 646.28 × 350.83
  4. Step 4: Simplify right side
    467.47x = 226,734.41
  5. Step 5: Solve for x
    x = 226,734.41/467.47
  6. Step 6: Final answer
    x = 485.02

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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.