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Finding the Fourth Proportional to 618.56, 852.46 and 507.39

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Solution

The fourth proportional to 618.56, 852.46 and 507.39 is: 699.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.56 : 852.46 = 507.39 : x
  2. Step 2: Convert to fraction form
    618.56/852.46 = 507.39/x
  3. Step 3: Cross multiply
    618.56x = 852.46 × 507.39
  4. Step 4: Simplify right side
    618.56x = 432,524.15
  5. Step 5: Solve for x
    x = 432,524.15/618.56
  6. Step 6: Final answer
    x = 699.25

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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.