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Finding the Fourth Proportional to 620.24, 856.01 and 358.25

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Solution

The fourth proportional to 620.24, 856.01 and 358.25 is: 494.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.24 : 856.01 = 358.25 : x
  2. Step 2: Convert to fraction form
    620.24/856.01 = 358.25/x
  3. Step 3: Cross multiply
    620.24x = 856.01 × 358.25
  4. Step 4: Simplify right side
    620.24x = 306,665.58
  5. Step 5: Solve for x
    x = 306,665.58/620.24
  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.