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Finding the Fourth Proportional to 678.50, 1,017.75 and 294.02

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Solution

The fourth proportional to 678.50, 1,017.75 and 294.02 is: 441.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.50 : 1,017.75 = 294.02 : x
  2. Step 2: Convert to fraction form
    678.50/1,017.75 = 294.02/x
  3. Step 3: Cross multiply
    678.50x = 1,017.75 × 294.02
  4. Step 4: Simplify right side
    678.50x = 299,238.86
  5. Step 5: Solve for x
    x = 299,238.86/678.50
  6. Step 6: Final answer
    x = 441.03

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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.