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Finding the Fourth Proportional to 648.40, 894.48 and 415.36

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Solution

The fourth proportional to 648.40, 894.48 and 415.36 is: 573.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.40 : 894.48 = 415.36 : x
  2. Step 2: Convert to fraction form
    648.40/894.48 = 415.36/x
  3. Step 3: Cross multiply
    648.40x = 894.48 × 415.36
  4. Step 4: Simplify right side
    648.40x = 371,531.21
  5. Step 5: Solve for x
    x = 371,531.21/648.40
  6. Step 6: Final answer
    x = 573.00

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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.