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Finding the Fourth Proportional to 463.37, 695.85 and 411.43

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Solution

The fourth proportional to 463.37, 695.85 and 411.43 is: 617.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.37 : 695.85 = 411.43 : x
  2. Step 2: Convert to fraction form
    463.37/695.85 = 411.43/x
  3. Step 3: Cross multiply
    463.37x = 695.85 × 411.43
  4. Step 4: Simplify right side
    463.37x = 286,294.59
  5. Step 5: Solve for x
    x = 286,294.59/463.37
  6. Step 6: Final answer
    x = 617.85

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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.