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Finding the Fourth Proportional to 648.15, 894.74 and 415.41

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Solution

The fourth proportional to 648.15, 894.74 and 415.41 is: 573.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.15 : 894.74 = 415.41 : x
  2. Step 2: Convert to fraction form
    648.15/894.74 = 415.41/x
  3. Step 3: Cross multiply
    648.15x = 894.74 × 415.41
  4. Step 4: Simplify right side
    648.15x = 371,683.94
  5. Step 5: Solve for x
    x = 371,683.94/648.15
  6. Step 6: Final answer
    x = 573.45

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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.