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Finding the Fourth Proportional to 648.53, 894.92 and 353.78

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Solution

The fourth proportional to 648.53, 894.92 and 353.78 is: 488.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.53 : 894.92 = 353.78 : x
  2. Step 2: Convert to fraction form
    648.53/894.92 = 353.78/x
  3. Step 3: Cross multiply
    648.53x = 894.92 × 353.78
  4. Step 4: Simplify right side
    648.53x = 316,598.55
  5. Step 5: Solve for x
    x = 316,598.55/648.53
  6. Step 6: Final answer
    x = 488.18

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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.