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Finding the Fourth Proportional to 651.53, 977.24 and 266.75

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Solution

The fourth proportional to 651.53, 977.24 and 266.75 is: 400.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.53 : 977.24 = 266.75 : x
  2. Step 2: Convert to fraction form
    651.53/977.24 = 266.75/x
  3. Step 3: Cross multiply
    651.53x = 977.24 × 266.75
  4. Step 4: Simplify right side
    651.53x = 260,677.44
  5. Step 5: Solve for x
    x = 260,677.44/651.53
  6. Step 6: Final answer
    x = 400.10

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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.