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Finding the Fourth Proportional to 651.29, 976.55 and 285.67

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Solution

The fourth proportional to 651.29, 976.55 and 285.67 is: 428.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.29 : 976.55 = 285.67 : x
  2. Step 2: Convert to fraction form
    651.29/976.55 = 285.67/x
  3. Step 3: Cross multiply
    651.29x = 976.55 × 285.67
  4. Step 4: Simplify right side
    651.29x = 278,970.83
  5. Step 5: Solve for x
    x = 278,970.83/651.29
  6. Step 6: Final answer
    x = 428.34

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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.