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Finding the Fourth Proportional to 646.52, 892.21 and 362.93

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Solution

The fourth proportional to 646.52, 892.21 and 362.93 is: 500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.52 : 892.21 = 362.93 : x
  2. Step 2: Convert to fraction form
    646.52/892.21 = 362.93/x
  3. Step 3: Cross multiply
    646.52x = 892.21 × 362.93
  4. Step 4: Simplify right side
    646.52x = 323,809.78
  5. Step 5: Solve for x
    x = 323,809.78/646.52
  6. Step 6: Final answer
    x = 500.85

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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.