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Finding the Fourth Proportional to 699.13, 964.80 and 388.63

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Solution

The fourth proportional to 699.13, 964.80 and 388.63 is: 536.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.13 : 964.80 = 388.63 : x
  2. Step 2: Convert to fraction form
    699.13/964.80 = 388.63/x
  3. Step 3: Cross multiply
    699.13x = 964.80 × 388.63
  4. Step 4: Simplify right side
    699.13x = 374,943.46
  5. Step 5: Solve for x
    x = 374,943.46/699.13
  6. Step 6: Final answer
    x = 536.30

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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.