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Finding the Fourth Proportional to 620.71, 856.44 and 358.66

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Solution

The fourth proportional to 620.71, 856.44 and 358.66 is: 494.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.71 : 856.44 = 358.66 : x
  2. Step 2: Convert to fraction form
    620.71/856.44 = 358.66/x
  3. Step 3: Cross multiply
    620.71x = 856.44 × 358.66
  4. Step 4: Simplify right side
    620.71x = 307,170.77
  5. Step 5: Solve for x
    x = 307,170.77/620.71
  6. Step 6: Final answer
    x = 494.87

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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.