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Finding the Fourth Proportional to 338.52, 465.80 and 307.46

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Solution

The fourth proportional to 338.52, 465.80 and 307.46 is: 423.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.52 : 465.80 = 307.46 : x
  2. Step 2: Convert to fraction form
    338.52/465.80 = 307.46/x
  3. Step 3: Cross multiply
    338.52x = 465.80 × 307.46
  4. Step 4: Simplify right side
    338.52x = 143,214.87
  5. Step 5: Solve for x
    x = 143,214.87/338.52
  6. Step 6: Final answer
    x = 423.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.