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Finding the Fourth Proportional to 528.62, 792.68 and 309.47

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Solution

The fourth proportional to 528.62, 792.68 and 309.47 is: 464.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.62 : 792.68 = 309.47 : x
  2. Step 2: Convert to fraction form
    528.62/792.68 = 309.47/x
  3. Step 3: Cross multiply
    528.62x = 792.68 × 309.47
  4. Step 4: Simplify right side
    528.62x = 245,305.17
  5. Step 5: Solve for x
    x = 245,305.17/528.62
  6. Step 6: Final answer
    x = 464.05

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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.