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Finding the Fourth Proportional to 648.49, 894.92 and 368.74

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Solution

The fourth proportional to 648.49, 894.92 and 368.74 is: 508.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.49 : 894.92 = 368.74 : x
  2. Step 2: Convert to fraction form
    648.49/894.92 = 368.74/x
  3. Step 3: Cross multiply
    648.49x = 894.92 × 368.74
  4. Step 4: Simplify right side
    648.49x = 329,996.32
  5. Step 5: Solve for x
    x = 329,996.32/648.49
  6. Step 6: Final answer
    x = 508.87

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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.