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Finding the Fourth Proportional to 621.41, 856.77 and 473.81

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Solution

The fourth proportional to 621.41, 856.77 and 473.81 is: 653.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.41 : 856.77 = 473.81 : x
  2. Step 2: Convert to fraction form
    621.41/856.77 = 473.81/x
  3. Step 3: Cross multiply
    621.41x = 856.77 × 473.81
  4. Step 4: Simplify right side
    621.41x = 405,946.19
  5. Step 5: Solve for x
    x = 405,946.19/621.41
  6. Step 6: Final answer
    x = 653.27

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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.