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Finding the Fourth Proportional to 529.54, 792.92 and 406.55

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Solution

The fourth proportional to 529.54, 792.92 and 406.55 is: 608.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.54 : 792.92 = 406.55 : x
  2. Step 2: Convert to fraction form
    529.54/792.92 = 406.55/x
  3. Step 3: Cross multiply
    529.54x = 792.92 × 406.55
  4. Step 4: Simplify right side
    529.54x = 322,364.62
  5. Step 5: Solve for x
    x = 322,364.62/529.54
  6. Step 6: Final answer
    x = 608.77

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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.