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Finding the Fourth Proportional to 699.39, 964.74 and 436.95

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Solution

The fourth proportional to 699.39, 964.74 and 436.95 is: 602.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.39 : 964.74 = 436.95 : x
  2. Step 2: Convert to fraction form
    699.39/964.74 = 436.95/x
  3. Step 3: Cross multiply
    699.39x = 964.74 × 436.95
  4. Step 4: Simplify right side
    699.39x = 421,543.14
  5. Step 5: Solve for x
    x = 421,543.14/699.39
  6. Step 6: Final answer
    x = 602.73

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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.