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Finding the Fourth Proportional to 411.21, 615.69 and 353.16

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Solution

The fourth proportional to 411.21, 615.69 and 353.16 is: 528.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.21 : 615.69 = 353.16 : x
  2. Step 2: Convert to fraction form
    411.21/615.69 = 353.16/x
  3. Step 3: Cross multiply
    411.21x = 615.69 × 353.16
  4. Step 4: Simplify right side
    411.21x = 217,437.08
  5. Step 5: Solve for x
    x = 217,437.08/411.21
  6. Step 6: Final answer
    x = 528.77

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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.