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Finding the Fourth Proportional to 307.95, 461.05 and 235.59

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Solution

The fourth proportional to 307.95, 461.05 and 235.59 is: 352.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.95 : 461.05 = 235.59 : x
  2. Step 2: Convert to fraction form
    307.95/461.05 = 235.59/x
  3. Step 3: Cross multiply
    307.95x = 461.05 × 235.59
  4. Step 4: Simplify right side
    307.95x = 108,618.77
  5. Step 5: Solve for x
    x = 108,618.77/307.95
  6. Step 6: Final answer
    x = 352.72

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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.