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Finding the Fourth Proportional to 651.56, 976.34 and 443.06

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Solution

The fourth proportional to 651.56, 976.34 and 443.06 is: 663.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.56 : 976.34 = 443.06 : x
  2. Step 2: Convert to fraction form
    651.56/976.34 = 443.06/x
  3. Step 3: Cross multiply
    651.56x = 976.34 × 443.06
  4. Step 4: Simplify right side
    651.56x = 432,570.10
  5. Step 5: Solve for x
    x = 432,570.10/651.56
  6. Step 6: Final answer
    x = 663.90

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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.