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Finding the Fourth Proportional to 646.38, 891.85 and 366.59

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Solution

The fourth proportional to 646.38, 891.85 and 366.59 is: 505.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.38 : 891.85 = 366.59 : x
  2. Step 2: Convert to fraction form
    646.38/891.85 = 366.59/x
  3. Step 3: Cross multiply
    646.38x = 891.85 × 366.59
  4. Step 4: Simplify right side
    646.38x = 326,943.29
  5. Step 5: Solve for x
    x = 326,943.29/646.38
  6. Step 6: Final answer
    x = 505.81

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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.