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Finding the Fourth Proportional to 307.64, 461.46 and 76.53

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Solution

The fourth proportional to 307.64, 461.46 and 76.53 is: 114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.64 : 461.46 = 76.53 : x
  2. Step 2: Convert to fraction form
    307.64/461.46 = 76.53/x
  3. Step 3: Cross multiply
    307.64x = 461.46 × 76.53
  4. Step 4: Simplify right side
    307.64x = 35,317.17
  5. Step 5: Solve for x
    x = 35,317.17/307.64
  6. Step 6: Final answer
    x = 114.80

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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.