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Finding the Fourth Proportional to 618.94, 928.47 and 229.04

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Solution

The fourth proportional to 618.94, 928.47 and 229.04 is: 343.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.94 : 928.47 = 229.04 : x
  2. Step 2: Convert to fraction form
    618.94/928.47 = 229.04/x
  3. Step 3: Cross multiply
    618.94x = 928.47 × 229.04
  4. Step 4: Simplify right side
    618.94x = 212,655.62
  5. Step 5: Solve for x
    x = 212,655.62/618.94
  6. Step 6: Final answer
    x = 343.58

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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.