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Finding the Fourth Proportional to 376.05, 561.61 and 315.23

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Solution

The fourth proportional to 376.05, 561.61 and 315.23 is: 470.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.05 : 561.61 = 315.23 : x
  2. Step 2: Convert to fraction form
    376.05/561.61 = 315.23/x
  3. Step 3: Cross multiply
    376.05x = 561.61 × 315.23
  4. Step 4: Simplify right side
    376.05x = 177,036.32
  5. Step 5: Solve for x
    x = 177,036.32/376.05
  6. Step 6: Final answer
    x = 470.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.