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Finding the Fourth Proportional to 646.46, 891.90 and 366.66

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Solution

The fourth proportional to 646.46, 891.90 and 366.66 is: 505.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.46 : 891.90 = 366.66 : x
  2. Step 2: Convert to fraction form
    646.46/891.90 = 366.66/x
  3. Step 3: Cross multiply
    646.46x = 891.90 × 366.66
  4. Step 4: Simplify right side
    646.46x = 327,024.05
  5. Step 5: Solve for x
    x = 327,024.05/646.46
  6. Step 6: Final answer
    x = 505.87

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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.