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Finding the Fourth Proportional to 588.50, 882.88 and 203.76

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Solution

The fourth proportional to 588.50, 882.88 and 203.76 is: 305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.50 : 882.88 = 203.76 : x
  2. Step 2: Convert to fraction form
    588.50/882.88 = 203.76/x
  3. Step 3: Cross multiply
    588.50x = 882.88 × 203.76
  4. Step 4: Simplify right side
    588.50x = 179,895.63
  5. Step 5: Solve for x
    x = 179,895.63/588.50
  6. Step 6: Final answer
    x = 305.69

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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.