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Finding the Fourth Proportional to 620.46, 855.86 and 358.42

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Solution

The fourth proportional to 620.46, 855.86 and 358.42 is: 494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.46 : 855.86 = 358.42 : x
  2. Step 2: Convert to fraction form
    620.46/855.86 = 358.42/x
  3. Step 3: Cross multiply
    620.46x = 855.86 × 358.42
  4. Step 4: Simplify right side
    620.46x = 306,757.34
  5. Step 5: Solve for x
    x = 306,757.34/620.46
  6. Step 6: Final answer
    x = 494.40

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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.