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Finding the Fourth Proportional to 455.30, 628.22 and 385.20

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Solution

The fourth proportional to 455.30, 628.22 and 385.20 is: 531.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.30 : 628.22 = 385.20 : x
  2. Step 2: Convert to fraction form
    455.30/628.22 = 385.20/x
  3. Step 3: Cross multiply
    455.30x = 628.22 × 385.20
  4. Step 4: Simplify right side
    455.30x = 241,988.42
  5. Step 5: Solve for x
    x = 241,988.42/455.30
  6. Step 6: Final answer
    x = 531.50

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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.