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Finding the Fourth Proportional to 314.64, 433.74 and 255.48

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Solution

The fourth proportional to 314.64, 433.74 and 255.48 is: 352.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.64 : 433.74 = 255.48 : x
  2. Step 2: Convert to fraction form
    314.64/433.74 = 255.48/x
  3. Step 3: Cross multiply
    314.64x = 433.74 × 255.48
  4. Step 4: Simplify right side
    314.64x = 110,811.90
  5. Step 5: Solve for x
    x = 110,811.90/314.64
  6. Step 6: Final answer
    x = 352.19

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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.