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Finding the Fourth Proportional to 648.54, 894.96 and 368.80

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Solution

The fourth proportional to 648.54, 894.96 and 368.80 is: 508.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.54 : 894.96 = 368.80 : x
  2. Step 2: Convert to fraction form
    648.54/894.96 = 368.80/x
  3. Step 3: Cross multiply
    648.54x = 894.96 × 368.80
  4. Step 4: Simplify right side
    648.54x = 330,061.25
  5. Step 5: Solve for x
    x = 330,061.25/648.54
  6. Step 6: Final answer
    x = 508.93

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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.