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Finding the Fourth Proportional to 698.98, 964.14 and 433.36

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Solution

The fourth proportional to 698.98, 964.14 and 433.36 is: 597.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.98 : 964.14 = 433.36 : x
  2. Step 2: Convert to fraction form
    698.98/964.14 = 433.36/x
  3. Step 3: Cross multiply
    698.98x = 964.14 × 433.36
  4. Step 4: Simplify right side
    698.98x = 417,819.71
  5. Step 5: Solve for x
    x = 417,819.71/698.98
  6. Step 6: Final answer
    x = 597.76

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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.