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Finding the Fourth Proportional to 646.23, 891.66 and 366.40

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Solution

The fourth proportional to 646.23, 891.66 and 366.40 is: 505.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.23 : 891.66 = 366.40 : x
  2. Step 2: Convert to fraction form
    646.23/891.66 = 366.40/x
  3. Step 3: Cross multiply
    646.23x = 891.66 × 366.40
  4. Step 4: Simplify right side
    646.23x = 326,707.57
  5. Step 5: Solve for x
    x = 326,707.57/646.23
  6. Step 6: Final answer
    x = 505.56

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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.