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Finding the Fourth Proportional to 618.28, 852.32 and 507.58

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Solution

The fourth proportional to 618.28, 852.32 and 507.58 is: 699.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.28 : 852.32 = 507.58 : x
  2. Step 2: Convert to fraction form
    618.28/852.32 = 507.58/x
  3. Step 3: Cross multiply
    618.28x = 852.32 × 507.58
  4. Step 4: Simplify right side
    618.28x = 432,620.59
  5. Step 5: Solve for x
    x = 432,620.59/618.28
  6. Step 6: Final answer
    x = 699.72

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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.