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Finding the Fourth Proportional to 698.50, 964 and 436.47

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Solution

The fourth proportional to 698.50, 964 and 436.47 is: 602.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.50 : 964 = 436.47 : x
  2. Step 2: Convert to fraction form
    698.50/964 = 436.47/x
  3. Step 3: Cross multiply
    698.50x = 964 × 436.47
  4. Step 4: Simplify right side
    698.50x = 420,752.26
  5. Step 5: Solve for x
    x = 420,752.26/698.50
  6. Step 6: Final answer
    x = 602.37

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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.