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Finding the Fourth Proportional to 698.91, 964.41 and 415.29

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Solution

The fourth proportional to 698.91, 964.41 and 415.29 is: 573.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.91 : 964.41 = 415.29 : x
  2. Step 2: Convert to fraction form
    698.91/964.41 = 415.29/x
  3. Step 3: Cross multiply
    698.91x = 964.41 × 415.29
  4. Step 4: Simplify right side
    698.91x = 400,509.83
  5. Step 5: Solve for x
    x = 400,509.83/698.91
  6. Step 6: Final answer
    x = 573.05

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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.