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Finding the Fourth Proportional to 648.16, 894.47 and 353.43

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Solution

The fourth proportional to 648.16, 894.47 and 353.43 is: 487.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.16 : 894.47 = 353.43 : x
  2. Step 2: Convert to fraction form
    648.16/894.47 = 353.43/x
  3. Step 3: Cross multiply
    648.16x = 894.47 × 353.43
  4. Step 4: Simplify right side
    648.16x = 316,132.53
  5. Step 5: Solve for x
    x = 316,132.53/648.16
  6. Step 6: Final answer
    x = 487.74

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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.