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Finding the Fourth Proportional to 678.64, 1,017.22 and 332.21

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Solution

The fourth proportional to 678.64, 1,017.22 and 332.21 is: 497.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.64 : 1,017.22 = 332.21 : x
  2. Step 2: Convert to fraction form
    678.64/1,017.22 = 332.21/x
  3. Step 3: Cross multiply
    678.64x = 1,017.22 × 332.21
  4. Step 4: Simplify right side
    678.64x = 337,930.66
  5. Step 5: Solve for x
    x = 337,930.66/678.64
  6. Step 6: Final answer
    x = 497.95

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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.