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Finding the Fourth Proportional to 307.54, 461.49 and 283.06

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Solution

The fourth proportional to 307.54, 461.49 and 283.06 is: 424.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.54 : 461.49 = 283.06 : x
  2. Step 2: Convert to fraction form
    307.54/461.49 = 283.06/x
  3. Step 3: Cross multiply
    307.54x = 461.49 × 283.06
  4. Step 4: Simplify right side
    307.54x = 130,629.36
  5. Step 5: Solve for x
    x = 130,629.36/307.54
  6. Step 6: Final answer
    x = 424.76

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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.