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Finding the Fourth Proportional to 648.28, 894.81 and 368.66

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Solution

The fourth proportional to 648.28, 894.81 and 368.66 is: 508.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.28 : 894.81 = 368.66 : x
  2. Step 2: Convert to fraction form
    648.28/894.81 = 368.66/x
  3. Step 3: Cross multiply
    648.28x = 894.81 × 368.66
  4. Step 4: Simplify right side
    648.28x = 329,883.98
  5. Step 5: Solve for x
    x = 329,883.98/648.28
  6. Step 6: Final answer
    x = 508.86

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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.