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Finding the Fourth Proportional to 307.44, 460.89 and 283.14

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Solution

The fourth proportional to 307.44, 460.89 and 283.14 is: 424.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.44 : 460.89 = 283.14 : x
  2. Step 2: Convert to fraction form
    307.44/460.89 = 283.14/x
  3. Step 3: Cross multiply
    307.44x = 460.89 × 283.14
  4. Step 4: Simplify right side
    307.44x = 130,496.39
  5. Step 5: Solve for x
    x = 130,496.39/307.44
  6. Step 6: Final answer
    x = 424.46

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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.