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Finding the Fourth Proportional to 521.10, 782.22 and 383.72

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Solution

The fourth proportional to 521.10, 782.22 and 383.72 is: 576.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.10 : 782.22 = 383.72 : x
  2. Step 2: Convert to fraction form
    521.10/782.22 = 383.72/x
  3. Step 3: Cross multiply
    521.10x = 782.22 × 383.72
  4. Step 4: Simplify right side
    521.10x = 300,153.46
  5. Step 5: Solve for x
    x = 300,153.46/521.10
  6. Step 6: Final answer
    x = 576.00

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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.