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Finding the Fourth Proportional to 307.74, 460.64 and 246.36

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Solution

The fourth proportional to 307.74, 460.64 and 246.36 is: 368.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.74 : 460.64 = 246.36 : x
  2. Step 2: Convert to fraction form
    307.74/460.64 = 246.36/x
  3. Step 3: Cross multiply
    307.74x = 460.64 × 246.36
  4. Step 4: Simplify right side
    307.74x = 113,483.27
  5. Step 5: Solve for x
    x = 113,483.27/307.74
  6. Step 6: Final answer
    x = 368.76

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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.