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Finding the Fourth Proportional to 678.23, 1,017.04 and 267.05

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Solution

The fourth proportional to 678.23, 1,017.04 and 267.05 is: 400.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.23 : 1,017.04 = 267.05 : x
  2. Step 2: Convert to fraction form
    678.23/1,017.04 = 267.05/x
  3. Step 3: Cross multiply
    678.23x = 1,017.04 × 267.05
  4. Step 4: Simplify right side
    678.23x = 271,600.53
  5. Step 5: Solve for x
    x = 271,600.53/678.23
  6. Step 6: Final answer
    x = 400.45

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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.