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Finding the Fourth Proportional to 529.16, 793.40 and 204.24

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Solution

The fourth proportional to 529.16, 793.40 and 204.24 is: 306.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.16 : 793.40 = 204.24 : x
  2. Step 2: Convert to fraction form
    529.16/793.40 = 204.24/x
  3. Step 3: Cross multiply
    529.16x = 793.40 × 204.24
  4. Step 4: Simplify right side
    529.16x = 162,044.02
  5. Step 5: Solve for x
    x = 162,044.02/529.16
  6. Step 6: Final answer
    x = 306.23

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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.