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Finding the Fourth Proportional to 698.58, 964.08 and 465.84

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Solution

The fourth proportional to 698.58, 964.08 and 465.84 is: 642.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.58 : 964.08 = 465.84 : x
  2. Step 2: Convert to fraction form
    698.58/964.08 = 465.84/x
  3. Step 3: Cross multiply
    698.58x = 964.08 × 465.84
  4. Step 4: Simplify right side
    698.58x = 449,107.03
  5. Step 5: Solve for x
    x = 449,107.03/698.58
  6. Step 6: Final answer
    x = 642.89

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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.