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Finding the Fourth Proportional to 314.28, 469.80 and 271.44

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Solution

The fourth proportional to 314.28, 469.80 and 271.44 is: 405.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.28 : 469.80 = 271.44 : x
  2. Step 2: Convert to fraction form
    314.28/469.80 = 271.44/x
  3. Step 3: Cross multiply
    314.28x = 469.80 × 271.44
  4. Step 4: Simplify right side
    314.28x = 127,522.51
  5. Step 5: Solve for x
    x = 127,522.51/314.28
  6. Step 6: Final answer
    x = 405.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.