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Finding the Fourth Proportional to 648.23, 894.35 and 368.45

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Solution

The fourth proportional to 648.23, 894.35 and 368.45 is: 508.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.23 : 894.35 = 368.45 : x
  2. Step 2: Convert to fraction form
    648.23/894.35 = 368.45/x
  3. Step 3: Cross multiply
    648.23x = 894.35 × 368.45
  4. Step 4: Simplify right side
    648.23x = 329,523.06
  5. Step 5: Solve for x
    x = 329,523.06/648.23
  6. Step 6: Final answer
    x = 508.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.