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Finding the Fourth Proportional to 529.20, 730.35 and 381.78

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Solution

The fourth proportional to 529.20, 730.35 and 381.78 is: 526.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.20 : 730.35 = 381.78 : x
  2. Step 2: Convert to fraction form
    529.20/730.35 = 381.78/x
  3. Step 3: Cross multiply
    529.20x = 730.35 × 381.78
  4. Step 4: Simplify right side
    529.20x = 278,833.02
  5. Step 5: Solve for x
    x = 278,833.02/529.20
  6. Step 6: Final answer
    x = 526.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.