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Finding the Fourth Proportional to 378.70, 567.93 and 248.69

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Solution

The fourth proportional to 378.70, 567.93 and 248.69 is: 372.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.70 : 567.93 = 248.69 : x
  2. Step 2: Convert to fraction form
    378.70/567.93 = 248.69/x
  3. Step 3: Cross multiply
    378.70x = 567.93 × 248.69
  4. Step 4: Simplify right side
    378.70x = 141,239.93
  5. Step 5: Solve for x
    x = 141,239.93/378.70
  6. Step 6: Final answer
    x = 372.96

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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.