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Finding the Fourth Proportional to 528.40, 793.01 and 285

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Solution

The fourth proportional to 528.40, 793.01 and 285 is: 427.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.40 : 793.01 = 285 : x
  2. Step 2: Convert to fraction form
    528.40/793.01 = 285/x
  3. Step 3: Cross multiply
    528.40x = 793.01 × 285
  4. Step 4: Simplify right side
    528.40x = 226,007.85
  5. Step 5: Solve for x
    x = 226,007.85/528.40
  6. Step 6: Final answer
    x = 427.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.