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Finding the Fourth Proportional to 529.08, 794.01 and 255.24

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Solution

The fourth proportional to 529.08, 794.01 and 255.24 is: 383.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.08 : 794.01 = 255.24 : x
  2. Step 2: Convert to fraction form
    529.08/794.01 = 255.24/x
  3. Step 3: Cross multiply
    529.08x = 794.01 × 255.24
  4. Step 4: Simplify right side
    529.08x = 202,663.11
  5. Step 5: Solve for x
    x = 202,663.11/529.08
  6. Step 6: Final answer
    x = 383.05

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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.