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Finding the Fourth Proportional to 307.85, 461.77 and 256.52

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Solution

The fourth proportional to 307.85, 461.77 and 256.52 is: 384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.85 : 461.77 = 256.52 : x
  2. Step 2: Convert to fraction form
    307.85/461.77 = 256.52/x
  3. Step 3: Cross multiply
    307.85x = 461.77 × 256.52
  4. Step 4: Simplify right side
    307.85x = 118,453.75
  5. Step 5: Solve for x
    x = 118,453.75/307.85
  6. Step 6: Final answer
    x = 384.78

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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.