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Finding the Fourth Proportional to 630.83, 945.27 and 424.63

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Solution

The fourth proportional to 630.83, 945.27 and 424.63 is: 636.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.83 : 945.27 = 424.63 : x
  2. Step 2: Convert to fraction form
    630.83/945.27 = 424.63/x
  3. Step 3: Cross multiply
    630.83x = 945.27 × 424.63
  4. Step 4: Simplify right side
    630.83x = 401,390.00
  5. Step 5: Solve for x
    x = 401,390.00/630.83
  6. Step 6: Final answer
    x = 636.29

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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.