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Finding the Fourth Proportional to 648.70, 894.99 and 415.96

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Solution

The fourth proportional to 648.70, 894.99 and 415.96 is: 573.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.70 : 894.99 = 415.96 : x
  2. Step 2: Convert to fraction form
    648.70/894.99 = 415.96/x
  3. Step 3: Cross multiply
    648.70x = 894.99 × 415.96
  4. Step 4: Simplify right side
    648.70x = 372,280.04
  5. Step 5: Solve for x
    x = 372,280.04/648.70
  6. Step 6: Final answer
    x = 573.89

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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.