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Finding the Fourth Proportional to 651.20, 977.38 and 304.73

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Solution

The fourth proportional to 651.20, 977.38 and 304.73 is: 457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.20 : 977.38 = 304.73 : x
  2. Step 2: Convert to fraction form
    651.20/977.38 = 304.73/x
  3. Step 3: Cross multiply
    651.20x = 977.38 × 304.73
  4. Step 4: Simplify right side
    651.20x = 297,835.02
  5. Step 5: Solve for x
    x = 297,835.02/651.20
  6. Step 6: Final answer
    x = 457.37

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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.