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Finding the Fourth Proportional to 977.50, 1,466.31 and 293.50

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Solution

The fourth proportional to 977.50, 1,466.31 and 293.50 is: 440.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.50 : 1,466.31 = 293.50 : x
  2. Step 2: Convert to fraction form
    977.50/1,466.31 = 293.50/x
  3. Step 3: Cross multiply
    977.50x = 1,466.31 × 293.50
  4. Step 4: Simplify right side
    977.50x = 430,361.99
  5. Step 5: Solve for x
    x = 430,361.99/977.50
  6. Step 6: Final answer
    x = 440.27

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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.