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Finding the Fourth Proportional to 651.50, 977.37 and 309.50

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Solution

The fourth proportional to 651.50, 977.37 and 309.50 is: 464.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.50 : 977.37 = 309.50 : x
  2. Step 2: Convert to fraction form
    651.50/977.37 = 309.50/x
  3. Step 3: Cross multiply
    651.50x = 977.37 × 309.50
  4. Step 4: Simplify right side
    651.50x = 302,496.02
  5. Step 5: Solve for x
    x = 302,496.02/651.50
  6. Step 6: Final answer
    x = 464.31

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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.