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Finding the Fourth Proportional to 588.14, 882.36 and 222.94

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Solution

The fourth proportional to 588.14, 882.36 and 222.94 is: 334.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.14 : 882.36 = 222.94 : x
  2. Step 2: Convert to fraction form
    588.14/882.36 = 222.94/x
  3. Step 3: Cross multiply
    588.14x = 882.36 × 222.94
  4. Step 4: Simplify right side
    588.14x = 196,713.34
  5. Step 5: Solve for x
    x = 196,713.34/588.14
  6. Step 6: Final answer
    x = 334.47

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1.5x scale

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.