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Finding the Fourth Proportional to 307.66, 461.40 and 286.60

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Solution

The fourth proportional to 307.66, 461.40 and 286.60 is: 429.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.66 : 461.40 = 286.60 : x
  2. Step 2: Convert to fraction form
    307.66/461.40 = 286.60/x
  3. Step 3: Cross multiply
    307.66x = 461.40 × 286.60
  4. Step 4: Simplify right side
    307.66x = 132,237.24
  5. Step 5: Solve for x
    x = 132,237.24/307.66
  6. Step 6: Final answer
    x = 429.82

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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.