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Finding the Fourth Proportional to 698.95, 964.53 and 388.45

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Solution

The fourth proportional to 698.95, 964.53 and 388.45 is: 536.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.95 : 964.53 = 388.45 : x
  2. Step 2: Convert to fraction form
    698.95/964.53 = 388.45/x
  3. Step 3: Cross multiply
    698.95x = 964.53 × 388.45
  4. Step 4: Simplify right side
    698.95x = 374,671.68
  5. Step 5: Solve for x
    x = 374,671.68/698.95
  6. Step 6: Final answer
    x = 536.05

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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.