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Finding the Fourth Proportional to 620.48, 855.84 and 358.46

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Solution

The fourth proportional to 620.48, 855.84 and 358.46 is: 494.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.48 : 855.84 = 358.46 : x
  2. Step 2: Convert to fraction form
    620.48/855.84 = 358.46/x
  3. Step 3: Cross multiply
    620.48x = 855.84 × 358.46
  4. Step 4: Simplify right side
    620.48x = 306,784.41
  5. Step 5: Solve for x
    x = 306,784.41/620.48
  6. Step 6: Final answer
    x = 494.43

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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.