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Finding the Fourth Proportional to 620.24, 856.53 and 561.92

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Solution

The fourth proportional to 620.24, 856.53 and 561.92 is: 775.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.24 : 856.53 = 561.92 : x
  2. Step 2: Convert to fraction form
    620.24/856.53 = 561.92/x
  3. Step 3: Cross multiply
    620.24x = 856.53 × 561.92
  4. Step 4: Simplify right side
    620.24x = 481,297.05
  5. Step 5: Solve for x
    x = 481,297.05/620.24
  6. Step 6: Final answer
    x = 775.99

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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.