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Finding the Fourth Proportional to 618.17, 929.61 and 537.57

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Solution

The fourth proportional to 618.17, 929.61 and 537.57 is: 808.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.17 : 929.61 = 537.57 : x
  2. Step 2: Convert to fraction form
    618.17/929.61 = 537.57/x
  3. Step 3: Cross multiply
    618.17x = 929.61 × 537.57
  4. Step 4: Simplify right side
    618.17x = 499,730.45
  5. Step 5: Solve for x
    x = 499,730.45/618.17
  6. Step 6: Final answer
    x = 808.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.