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Finding the Fourth Proportional to 529.53, 794.00 and 221.02

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Solution

The fourth proportional to 529.53, 794.00 and 221.02 is: 331.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.53 : 794.00 = 221.02 : x
  2. Step 2: Convert to fraction form
    529.53/794.00 = 221.02/x
  3. Step 3: Cross multiply
    529.53x = 794.00 × 221.02
  4. Step 4: Simplify right side
    529.53x = 175,486.79
  5. Step 5: Solve for x
    x = 175,486.79/529.53
  6. Step 6: Final answer
    x = 331.40

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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.