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Finding the Fourth Proportional to 646.43, 891.65 and 446.91

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Solution

The fourth proportional to 646.43, 891.65 and 446.91 is: 616.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.43 : 891.65 = 446.91 : x
  2. Step 2: Convert to fraction form
    646.43/891.65 = 446.91/x
  3. Step 3: Cross multiply
    646.43x = 891.65 × 446.91
  4. Step 4: Simplify right side
    646.43x = 398,485.07
  5. Step 5: Solve for x
    x = 398,485.07/646.43
  6. Step 6: Final answer
    x = 616.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.