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Finding the Fourth Proportional to 630.80, 946.05 and 301.53

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Solution

The fourth proportional to 630.80, 946.05 and 301.53 is: 452.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.80 : 946.05 = 301.53 : x
  2. Step 2: Convert to fraction form
    630.80/946.05 = 301.53/x
  3. Step 3: Cross multiply
    630.80x = 946.05 × 301.53
  4. Step 4: Simplify right side
    630.80x = 285,264.87
  5. Step 5: Solve for x
    x = 285,264.87/630.80
  6. Step 6: Final answer
    x = 452.23

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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.