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Finding the Fourth Proportional to 463.91, 695.14 and 411.95

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Solution

The fourth proportional to 463.91, 695.14 and 411.95 is: 617.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.91 : 695.14 = 411.95 : x
  2. Step 2: Convert to fraction form
    463.91/695.14 = 411.95/x
  3. Step 3: Cross multiply
    463.91x = 695.14 × 411.95
  4. Step 4: Simplify right side
    463.91x = 286,363.63
  5. Step 5: Solve for x
    x = 286,363.63/463.91
  6. Step 6: Final answer
    x = 617.29

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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.