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Finding the Fourth Proportional to 620.52, 856.12 and 358.48

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Solution

The fourth proportional to 620.52, 856.12 and 358.48 is: 494.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.52 : 856.12 = 358.48 : x
  2. Step 2: Convert to fraction form
    620.52/856.12 = 358.48/x
  3. Step 3: Cross multiply
    620.52x = 856.12 × 358.48
  4. Step 4: Simplify right side
    620.52x = 306,901.90
  5. Step 5: Solve for x
    x = 306,901.90/620.52
  6. Step 6: Final answer
    x = 494.59

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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.