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Finding the Fourth Proportional to 529.01, 793.68 and 255.02

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Solution

The fourth proportional to 529.01, 793.68 and 255.02 is: 382.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.01 : 793.68 = 255.02 : x
  2. Step 2: Convert to fraction form
    529.01/793.68 = 255.02/x
  3. Step 3: Cross multiply
    529.01x = 793.68 × 255.02
  4. Step 4: Simplify right side
    529.01x = 202,406.26
  5. Step 5: Solve for x
    x = 202,406.26/529.01
  6. Step 6: Final answer
    x = 382.62

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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.