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Finding the Fourth Proportional to 621.86, 856.02 and 537.80

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Solution

The fourth proportional to 621.86, 856.02 and 537.80 is: 740.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.86 : 856.02 = 537.80 : x
  2. Step 2: Convert to fraction form
    621.86/856.02 = 537.80/x
  3. Step 3: Cross multiply
    621.86x = 856.02 × 537.80
  4. Step 4: Simplify right side
    621.86x = 460,367.56
  5. Step 5: Solve for x
    x = 460,367.56/621.86
  6. Step 6: Final answer
    x = 740.31

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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.