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Finding the Fourth Proportional to 529.29, 792.06 and 486.06

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Solution

The fourth proportional to 529.29, 792.06 and 486.06 is: 727.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.29 : 792.06 = 486.06 : x
  2. Step 2: Convert to fraction form
    529.29/792.06 = 486.06/x
  3. Step 3: Cross multiply
    529.29x = 792.06 × 486.06
  4. Step 4: Simplify right side
    529.29x = 384,988.68
  5. Step 5: Solve for x
    x = 384,988.68/529.29
  6. Step 6: Final answer
    x = 727.37

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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.