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Finding the Fourth Proportional to 621.60, 856.92 and 424.80

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Solution

The fourth proportional to 621.60, 856.92 and 424.80 is: 585.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.60 : 856.92 = 424.80 : x
  2. Step 2: Convert to fraction form
    621.60/856.92 = 424.80/x
  3. Step 3: Cross multiply
    621.60x = 856.92 × 424.80
  4. Step 4: Simplify right side
    621.60x = 364,019.62
  5. Step 5: Solve for x
    x = 364,019.62/621.60
  6. Step 6: Final answer
    x = 585.62

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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.