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Finding the Fourth Proportional to 698.08, 962.40 and 464.80

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Solution

The fourth proportional to 698.08, 962.40 and 464.80 is: 640.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.08 : 962.40 = 464.80 : x
  2. Step 2: Convert to fraction form
    698.08/962.40 = 464.80/x
  3. Step 3: Cross multiply
    698.08x = 962.40 × 464.80
  4. Step 4: Simplify right side
    698.08x = 447,323.52
  5. Step 5: Solve for x
    x = 447,323.52/698.08
  6. Step 6: Final answer
    x = 640.79

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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.