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Finding the Fourth Proportional to 640.48, 883.95 and 378.49

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Solution

The fourth proportional to 640.48, 883.95 and 378.49 is: 522.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.48 : 883.95 = 378.49 : x
  2. Step 2: Convert to fraction form
    640.48/883.95 = 378.49/x
  3. Step 3: Cross multiply
    640.48x = 883.95 × 378.49
  4. Step 4: Simplify right side
    640.48x = 334,566.24
  5. Step 5: Solve for x
    x = 334,566.24/640.48
  6. Step 6: Final answer
    x = 522.37

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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.