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Finding the Fourth Proportional to 528.73, 793.60 and 284.92

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Solution

The fourth proportional to 528.73, 793.60 and 284.92 is: 427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.73 : 793.60 = 284.92 : x
  2. Step 2: Convert to fraction form
    528.73/793.60 = 284.92/x
  3. Step 3: Cross multiply
    528.73x = 793.60 × 284.92
  4. Step 4: Simplify right side
    528.73x = 226,109.82
  5. Step 5: Solve for x
    x = 226,109.82/528.73
  6. Step 6: Final answer
    x = 427.65

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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.