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Finding the Fourth Proportional to 419.37, 629.01 and 258.06

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Solution

The fourth proportional to 419.37, 629.01 and 258.06 is: 387.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.37 : 629.01 = 258.06 : x
  2. Step 2: Convert to fraction form
    419.37/629.01 = 258.06/x
  3. Step 3: Cross multiply
    419.37x = 629.01 × 258.06
  4. Step 4: Simplify right side
    419.37x = 162,322.32
  5. Step 5: Solve for x
    x = 162,322.32/419.37
  6. Step 6: Final answer
    x = 387.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.