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Finding the Fourth Proportional to 528.98, 792.86 and 311.90

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Solution

The fourth proportional to 528.98, 792.86 and 311.90 is: 467.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.98 : 792.86 = 311.90 : x
  2. Step 2: Convert to fraction form
    528.98/792.86 = 311.90/x
  3. Step 3: Cross multiply
    528.98x = 792.86 × 311.90
  4. Step 4: Simplify right side
    528.98x = 247,287.51
  5. Step 5: Solve for x
    x = 247,287.51/528.98
  6. Step 6: Final answer
    x = 467.48

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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.