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Finding the Fourth Proportional to 630.90, 945.61 and 283.83

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Solution

The fourth proportional to 630.90, 945.61 and 283.83 is: 425.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.90 : 945.61 = 283.83 : x
  2. Step 2: Convert to fraction form
    630.90/945.61 = 283.83/x
  3. Step 3: Cross multiply
    630.90x = 945.61 × 283.83
  4. Step 4: Simplify right side
    630.90x = 268,388.23
  5. Step 5: Solve for x
    x = 268,388.23/630.90
  6. Step 6: Final answer
    x = 425.41

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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.