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Finding the Fourth Proportional to 685.68, 1,030.38 and 361.20

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Solution

The fourth proportional to 685.68, 1,030.38 and 361.20 is: 542.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.68 : 1,030.38 = 361.20 : x
  2. Step 2: Convert to fraction form
    685.68/1,030.38 = 361.20/x
  3. Step 3: Cross multiply
    685.68x = 1,030.38 × 361.20
  4. Step 4: Simplify right side
    685.68x = 372,173.26
  5. Step 5: Solve for x
    x = 372,173.26/685.68
  6. Step 6: Final answer
    x = 542.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.