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Finding the Fourth Proportional to 629.94, 869.70 and 405.95

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Solution

The fourth proportional to 629.94, 869.70 and 405.95 is: 560.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.94 : 869.70 = 405.95 : x
  2. Step 2: Convert to fraction form
    629.94/869.70 = 405.95/x
  3. Step 3: Cross multiply
    629.94x = 869.70 × 405.95
  4. Step 4: Simplify right side
    629.94x = 353,053.92
  5. Step 5: Solve for x
    x = 353,053.92/629.94
  6. Step 6: Final answer
    x = 560.46

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