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Finding the Fourth Proportional to 648.68, 894.34 and 415.72

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Solution

The fourth proportional to 648.68, 894.34 and 415.72 is: 573.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.68 : 894.34 = 415.72 : x
  2. Step 2: Convert to fraction form
    648.68/894.34 = 415.72/x
  3. Step 3: Cross multiply
    648.68x = 894.34 × 415.72
  4. Step 4: Simplify right side
    648.68x = 371,795.02
  5. Step 5: Solve for x
    x = 371,795.02/648.68
  6. Step 6: Final answer
    x = 573.16

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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.