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Finding the Fourth Proportional to 648.18, 894.33 and 415.62

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Solution

The fourth proportional to 648.18, 894.33 and 415.62 is: 573.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.18 : 894.33 = 415.62 : x
  2. Step 2: Convert to fraction form
    648.18/894.33 = 415.62/x
  3. Step 3: Cross multiply
    648.18x = 894.33 × 415.62
  4. Step 4: Simplify right side
    648.18x = 371,701.43
  5. Step 5: Solve for x
    x = 371,701.43/648.18
  6. Step 6: Final answer
    x = 573.45

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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.