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Finding the Fourth Proportional to 646.84, 968.28 and 440.56

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Solution

The fourth proportional to 646.84, 968.28 and 440.56 is: 659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.84 : 968.28 = 440.56 : x
  2. Step 2: Convert to fraction form
    646.84/968.28 = 440.56/x
  3. Step 3: Cross multiply
    646.84x = 968.28 × 440.56
  4. Step 4: Simplify right side
    646.84x = 426,585.44
  5. Step 5: Solve for x
    x = 426,585.44/646.84
  6. Step 6: Final answer
    x = 659.49

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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.