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Finding the Fourth Proportional to 470.76, 704.12 and 411.64

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Solution

The fourth proportional to 470.76, 704.12 and 411.64 is: 615.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.76 : 704.12 = 411.64 : x
  2. Step 2: Convert to fraction form
    470.76/704.12 = 411.64/x
  3. Step 3: Cross multiply
    470.76x = 704.12 × 411.64
  4. Step 4: Simplify right side
    470.76x = 289,843.96
  5. Step 5: Solve for x
    x = 289,843.96/470.76
  6. Step 6: Final answer
    x = 615.69

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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.