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Finding the Fourth Proportional to 646.74, 892.53 and 367.05

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Solution

The fourth proportional to 646.74, 892.53 and 367.05 is: 506.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.74 : 892.53 = 367.05 : x
  2. Step 2: Convert to fraction form
    646.74/892.53 = 367.05/x
  3. Step 3: Cross multiply
    646.74x = 892.53 × 367.05
  4. Step 4: Simplify right side
    646.74x = 327,603.14
  5. Step 5: Solve for x
    x = 327,603.14/646.74
  6. Step 6: Final answer
    x = 506.55

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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.