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Finding the Fourth Proportional to 618.30, 926.84 and 289.58

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Solution

The fourth proportional to 618.30, 926.84 and 289.58 is: 434.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.30 : 926.84 = 289.58 : x
  2. Step 2: Convert to fraction form
    618.30/926.84 = 289.58/x
  3. Step 3: Cross multiply
    618.30x = 926.84 × 289.58
  4. Step 4: Simplify right side
    618.30x = 268,394.33
  5. Step 5: Solve for x
    x = 268,394.33/618.30
  6. Step 6: Final answer
    x = 434.08

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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.