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Finding the Fourth Proportional to 529.84, 794.94 and 221.56

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Solution

The fourth proportional to 529.84, 794.94 and 221.56 is: 332.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.84 : 794.94 = 221.56 : x
  2. Step 2: Convert to fraction form
    529.84/794.94 = 221.56/x
  3. Step 3: Cross multiply
    529.84x = 794.94 × 221.56
  4. Step 4: Simplify right side
    529.84x = 176,126.91
  5. Step 5: Solve for x
    x = 176,126.91/529.84
  6. Step 6: Final answer
    x = 332.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.