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Finding the Fourth Proportional to 456.71, 629.98 and 290.99

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Solution

The fourth proportional to 456.71, 629.98 and 290.99 is: 401.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.71 : 629.98 = 290.99 : x
  2. Step 2: Convert to fraction form
    456.71/629.98 = 290.99/x
  3. Step 3: Cross multiply
    456.71x = 629.98 × 290.99
  4. Step 4: Simplify right side
    456.71x = 183,318.73
  5. Step 5: Solve for x
    x = 183,318.73/456.71
  6. Step 6: Final answer
    x = 401.39

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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.