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Finding the Fourth Proportional to 651.68, 977.36 and 266.96

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Solution

The fourth proportional to 651.68, 977.36 and 266.96 is: 400.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.68 : 977.36 = 266.96 : x
  2. Step 2: Convert to fraction form
    651.68/977.36 = 266.96/x
  3. Step 3: Cross multiply
    651.68x = 977.36 × 266.96
  4. Step 4: Simplify right side
    651.68x = 260,916.03
  5. Step 5: Solve for x
    x = 260,916.03/651.68
  6. Step 6: Final answer
    x = 400.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.