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Finding the Fourth Proportional to 646.76, 968.34 and 372.44

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Solution

The fourth proportional to 646.76, 968.34 and 372.44 is: 557.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.76 : 968.34 = 372.44 : x
  2. Step 2: Convert to fraction form
    646.76/968.34 = 372.44/x
  3. Step 3: Cross multiply
    646.76x = 968.34 × 372.44
  4. Step 4: Simplify right side
    646.76x = 360,648.55
  5. Step 5: Solve for x
    x = 360,648.55/646.76
  6. Step 6: Final answer
    x = 557.62

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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.