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Finding the Fourth Proportional to 463.22, 695.62 and 411.27

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Solution

The fourth proportional to 463.22, 695.62 and 411.27 is: 617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.22 : 695.62 = 411.27 : x
  2. Step 2: Convert to fraction form
    463.22/695.62 = 411.27/x
  3. Step 3: Cross multiply
    463.22x = 695.62 × 411.27
  4. Step 4: Simplify right side
    463.22x = 286,089.22
  5. Step 5: Solve for x
    x = 286,089.22/463.22
  6. Step 6: Final answer
    x = 617.62

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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.