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Finding the Fourth Proportional to 620.72, 852.74 and 509.84

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Solution

The fourth proportional to 620.72, 852.74 and 509.84 is: 700.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.72 : 852.74 = 509.84 : x
  2. Step 2: Convert to fraction form
    620.72/852.74 = 509.84/x
  3. Step 3: Cross multiply
    620.72x = 852.74 × 509.84
  4. Step 4: Simplify right side
    620.72x = 434,760.96
  5. Step 5: Solve for x
    x = 434,760.96/620.72
  6. Step 6: Final answer
    x = 700.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.