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Finding the Fourth Proportional to 647.27, 968.50 and 387.42

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Solution

The fourth proportional to 647.27, 968.50 and 387.42 is: 579.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.27 : 968.50 = 387.42 : x
  2. Step 2: Convert to fraction form
    647.27/968.50 = 387.42/x
  3. Step 3: Cross multiply
    647.27x = 968.50 × 387.42
  4. Step 4: Simplify right side
    647.27x = 375,216.27
  5. Step 5: Solve for x
    x = 375,216.27/647.27
  6. Step 6: Final answer
    x = 579.69

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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.