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Finding the Fourth Proportional to 630.75, 943.41 and 455.45

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Solution

The fourth proportional to 630.75, 943.41 and 455.45 is: 681.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.75 : 943.41 = 455.45 : x
  2. Step 2: Convert to fraction form
    630.75/943.41 = 455.45/x
  3. Step 3: Cross multiply
    630.75x = 943.41 × 455.45
  4. Step 4: Simplify right side
    630.75x = 429,671.37
  5. Step 5: Solve for x
    x = 429,671.37/630.75
  6. Step 6: Final answer
    x = 681.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.