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Finding the Fourth Proportional to 709.58, 1,064.43 and 222.50

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Solution

The fourth proportional to 709.58, 1,064.43 and 222.50 is: 333.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.58 : 1,064.43 = 222.50 : x
  2. Step 2: Convert to fraction form
    709.58/1,064.43 = 222.50/x
  3. Step 3: Cross multiply
    709.58x = 1,064.43 × 222.50
  4. Step 4: Simplify right side
    709.58x = 236,835.68
  5. Step 5: Solve for x
    x = 236,835.68/709.58
  6. Step 6: Final answer
    x = 333.77

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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.