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Finding the Fourth Proportional to 631.98, 946.12 and 467.54

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Solution

The fourth proportional to 631.98, 946.12 and 467.54 is: 699.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.98 : 946.12 = 467.54 : x
  2. Step 2: Convert to fraction form
    631.98/946.12 = 467.54/x
  3. Step 3: Cross multiply
    631.98x = 946.12 × 467.54
  4. Step 4: Simplify right side
    631.98x = 442,348.94
  5. Step 5: Solve for x
    x = 442,348.94/631.98
  6. Step 6: Final answer
    x = 699.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.