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Finding the Fourth Proportional to 678.28, 1,017.42 and 293.50

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Solution

The fourth proportional to 678.28, 1,017.42 and 293.50 is: 440.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.28 : 1,017.42 = 293.50 : x
  2. Step 2: Convert to fraction form
    678.28/1,017.42 = 293.50/x
  3. Step 3: Cross multiply
    678.28x = 1,017.42 × 293.50
  4. Step 4: Simplify right side
    678.28x = 298,612.77
  5. Step 5: Solve for x
    x = 298,612.77/678.28
  6. Step 6: Final answer
    x = 440.25

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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.