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Finding the Fourth Proportional to 648.48, 894.96 and 415.20

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Solution

The fourth proportional to 648.48, 894.96 and 415.20 is: 573.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.48 : 894.96 = 415.20 : x
  2. Step 2: Convert to fraction form
    648.48/894.96 = 415.20/x
  3. Step 3: Cross multiply
    648.48x = 894.96 × 415.20
  4. Step 4: Simplify right side
    648.48x = 371,587.39
  5. Step 5: Solve for x
    x = 371,587.39/648.48
  6. Step 6: Final answer
    x = 573.01

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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.