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Finding the Fourth Proportional to 455.31, 628.31 and 278.57

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Solution

The fourth proportional to 455.31, 628.31 and 278.57 is: 384.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.31 : 628.31 = 278.57 : x
  2. Step 2: Convert to fraction form
    455.31/628.31 = 278.57/x
  3. Step 3: Cross multiply
    455.31x = 628.31 × 278.57
  4. Step 4: Simplify right side
    455.31x = 175,025.18
  5. Step 5: Solve for x
    x = 175,025.18/455.31
  6. Step 6: Final answer
    x = 384.41

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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.