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Finding the Fourth Proportional to 648.02, 894.30 and 368.25

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Solution

The fourth proportional to 648.02, 894.30 and 368.25 is: 508.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.02 : 894.30 = 368.25 : x
  2. Step 2: Convert to fraction form
    648.02/894.30 = 368.25/x
  3. Step 3: Cross multiply
    648.02x = 894.30 × 368.25
  4. Step 4: Simplify right side
    648.02x = 329,325.98
  5. Step 5: Solve for x
    x = 329,325.98/648.02
  6. Step 6: Final answer
    x = 508.20

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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.