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Finding the Fourth Proportional to 646.30, 891.91 and 366.55

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Solution

The fourth proportional to 646.30, 891.91 and 366.55 is: 505.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.30 : 891.91 = 366.55 : x
  2. Step 2: Convert to fraction form
    646.30/891.91 = 366.55/x
  3. Step 3: Cross multiply
    646.30x = 891.91 × 366.55
  4. Step 4: Simplify right side
    646.30x = 326,929.61
  5. Step 5: Solve for x
    x = 326,929.61/646.30
  6. Step 6: Final answer
    x = 505.85

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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.