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Finding the Fourth Proportional to 698.06, 964.60 and 465.50

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Solution

The fourth proportional to 698.06, 964.60 and 465.50 is: 643.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.06 : 964.60 = 465.50 : x
  2. Step 2: Convert to fraction form
    698.06/964.60 = 465.50/x
  3. Step 3: Cross multiply
    698.06x = 964.60 × 465.50
  4. Step 4: Simplify right side
    698.06x = 449,021.30
  5. Step 5: Solve for x
    x = 449,021.30/698.06
  6. Step 6: Final answer
    x = 643.24

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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.