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Finding the Fourth Proportional to 341.47, 468.05 and 336.67

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Solution

The fourth proportional to 341.47, 468.05 and 336.67 is: 461.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.47 : 468.05 = 336.67 : x
  2. Step 2: Convert to fraction form
    341.47/468.05 = 336.67/x
  3. Step 3: Cross multiply
    341.47x = 468.05 × 336.67
  4. Step 4: Simplify right side
    341.47x = 157,578.39
  5. Step 5: Solve for x
    x = 157,578.39/341.47
  6. Step 6: Final answer
    x = 461.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.