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Finding the Fourth Proportional to 651.63, 976.33 and 443.06

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Solution

The fourth proportional to 651.63, 976.33 and 443.06 is: 663.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.63 : 976.33 = 443.06 : x
  2. Step 2: Convert to fraction form
    651.63/976.33 = 443.06/x
  3. Step 3: Cross multiply
    651.63x = 976.33 × 443.06
  4. Step 4: Simplify right side
    651.63x = 432,572.77
  5. Step 5: Solve for x
    x = 432,572.77/651.63
  6. Step 6: Final answer
    x = 663.83

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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.