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Finding the Fourth Proportional to 640.24, 883.52 and 360.48

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Solution

The fourth proportional to 640.24, 883.52 and 360.48 is: 497.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.24 : 883.52 = 360.48 : x
  2. Step 2: Convert to fraction form
    640.24/883.52 = 360.48/x
  3. Step 3: Cross multiply
    640.24x = 883.52 × 360.48
  4. Step 4: Simplify right side
    640.24x = 318,491.29
  5. Step 5: Solve for x
    x = 318,491.29/640.24
  6. Step 6: Final answer
    x = 497.46

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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.