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Finding the Fourth Proportional to 419.77, 629.65 and 257.13

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Solution

The fourth proportional to 419.77, 629.65 and 257.13 is: 385.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.77 : 629.65 = 257.13 : x
  2. Step 2: Convert to fraction form
    419.77/629.65 = 257.13/x
  3. Step 3: Cross multiply
    419.77x = 629.65 × 257.13
  4. Step 4: Simplify right side
    419.77x = 161,901.90
  5. Step 5: Solve for x
    x = 161,901.90/419.77
  6. Step 6: Final answer
    x = 385.69

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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.