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Finding the Fourth Proportional to 529.38, 792.54 and 382.68

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Solution

The fourth proportional to 529.38, 792.54 and 382.68 is: 572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.38 : 792.54 = 382.68 : x
  2. Step 2: Convert to fraction form
    529.38/792.54 = 382.68/x
  3. Step 3: Cross multiply
    529.38x = 792.54 × 382.68
  4. Step 4: Simplify right side
    529.38x = 303,289.21
  5. Step 5: Solve for x
    x = 303,289.21/529.38
  6. Step 6: Final answer
    x = 572.91

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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.