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Finding the Fourth Proportional to 678.70, 1,017.84 and 349.54

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Solution

The fourth proportional to 678.70, 1,017.84 and 349.54 is: 524.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.70 : 1,017.84 = 349.54 : x
  2. Step 2: Convert to fraction form
    678.70/1,017.84 = 349.54/x
  3. Step 3: Cross multiply
    678.70x = 1,017.84 × 349.54
  4. Step 4: Simplify right side
    678.70x = 355,776.44
  5. Step 5: Solve for x
    x = 355,776.44/678.70
  6. Step 6: Final answer
    x = 524.20

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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.