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Finding the Fourth Proportional to 366.69, 505.76 and 341.94

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Solution

The fourth proportional to 366.69, 505.76 and 341.94 is: 471.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.69 : 505.76 = 341.94 : x
  2. Step 2: Convert to fraction form
    366.69/505.76 = 341.94/x
  3. Step 3: Cross multiply
    366.69x = 505.76 × 341.94
  4. Step 4: Simplify right side
    366.69x = 172,937.86
  5. Step 5: Solve for x
    x = 172,937.86/366.69
  6. Step 6: Final answer
    x = 471.62

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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.