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Finding the Fourth Proportional to 338.98, 466.76 and 307.70

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Solution

The fourth proportional to 338.98, 466.76 and 307.70 is: 423.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.98 : 466.76 = 307.70 : x
  2. Step 2: Convert to fraction form
    338.98/466.76 = 307.70/x
  3. Step 3: Cross multiply
    338.98x = 466.76 × 307.70
  4. Step 4: Simplify right side
    338.98x = 143,620.49
  5. Step 5: Solve for x
    x = 143,620.49/338.98
  6. Step 6: Final answer
    x = 423.69

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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.