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Finding the Fourth Proportional to 648.38, 894.78 and 368.57

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Solution

The fourth proportional to 648.38, 894.78 and 368.57 is: 508.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.38 : 894.78 = 368.57 : x
  2. Step 2: Convert to fraction form
    648.38/894.78 = 368.57/x
  3. Step 3: Cross multiply
    648.38x = 894.78 × 368.57
  4. Step 4: Simplify right side
    648.38x = 329,789.06
  5. Step 5: Solve for x
    x = 329,789.06/648.38
  6. Step 6: Final answer
    x = 508.64

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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.