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Finding the Fourth Proportional to 646.95, 892.58 and 367.17

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Solution

The fourth proportional to 646.95, 892.58 and 367.17 is: 506.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.95 : 892.58 = 367.17 : x
  2. Step 2: Convert to fraction form
    646.95/892.58 = 367.17/x
  3. Step 3: Cross multiply
    646.95x = 892.58 × 367.17
  4. Step 4: Simplify right side
    646.95x = 327,728.60
  5. Step 5: Solve for x
    x = 327,728.60/646.95
  6. Step 6: Final answer
    x = 506.57

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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.