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Finding the Fourth Proportional to 648.43, 894.35 and 412.18

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Solution

The fourth proportional to 648.43, 894.35 and 412.18 is: 568.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.43 : 894.35 = 412.18 : x
  2. Step 2: Convert to fraction form
    648.43/894.35 = 412.18/x
  3. Step 3: Cross multiply
    648.43x = 894.35 × 412.18
  4. Step 4: Simplify right side
    648.43x = 368,631.98
  5. Step 5: Solve for x
    x = 368,631.98/648.43
  6. Step 6: Final answer
    x = 568.50

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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.