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Finding the Fourth Proportional to 589.25, 883.18 and 242.12

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Solution

The fourth proportional to 589.25, 883.18 and 242.12 is: 362.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.25 : 883.18 = 242.12 : x
  2. Step 2: Convert to fraction form
    589.25/883.18 = 242.12/x
  3. Step 3: Cross multiply
    589.25x = 883.18 × 242.12
  4. Step 4: Simplify right side
    589.25x = 213,835.54
  5. Step 5: Solve for x
    x = 213,835.54/589.25
  6. Step 6: Final answer
    x = 362.89

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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.