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Finding the Fourth Proportional to 319.19, 440.21 and 257.00

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Solution

The fourth proportional to 319.19, 440.21 and 257.00 is: 354.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.19 : 440.21 = 257.00 : x
  2. Step 2: Convert to fraction form
    319.19/440.21 = 257.00/x
  3. Step 3: Cross multiply
    319.19x = 440.21 × 257.00
  4. Step 4: Simplify right side
    319.19x = 113,132.93
  5. Step 5: Solve for x
    x = 113,132.93/319.19
  6. Step 6: Final answer
    x = 354.44

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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.