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Finding the Fourth Proportional to 648.08, 894.52 and 415.08

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Solution

The fourth proportional to 648.08, 894.52 and 415.08 is: 572.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.08 : 894.52 = 415.08 : x
  2. Step 2: Convert to fraction form
    648.08/894.52 = 415.08/x
  3. Step 3: Cross multiply
    648.08x = 894.52 × 415.08
  4. Step 4: Simplify right side
    648.08x = 371,297.36
  5. Step 5: Solve for x
    x = 371,297.36/648.08
  6. Step 6: Final answer
    x = 572.92

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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.