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Finding the Fourth Proportional to 629.17, 868.14 and 405.18

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Solution

The fourth proportional to 629.17, 868.14 and 405.18 is: 559.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.17 : 868.14 = 405.18 : x
  2. Step 2: Convert to fraction form
    629.17/868.14 = 405.18/x
  3. Step 3: Cross multiply
    629.17x = 868.14 × 405.18
  4. Step 4: Simplify right side
    629.17x = 351,749.10
  5. Step 5: Solve for x
    x = 351,749.10/629.17
  6. Step 6: Final answer
    x = 559.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.