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Finding the Fourth Proportional to 698.35, 1,046.64 and 332.30

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Solution

The fourth proportional to 698.35, 1,046.64 and 332.30 is: 498.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.35 : 1,046.64 = 332.30 : x
  2. Step 2: Convert to fraction form
    698.35/1,046.64 = 332.30/x
  3. Step 3: Cross multiply
    698.35x = 1,046.64 × 332.30
  4. Step 4: Simplify right side
    698.35x = 347,794.48
  5. Step 5: Solve for x
    x = 347,794.48/698.35
  6. Step 6: Final answer
    x = 498.02

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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.