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Finding the Fourth Proportional to 378, 520.94 and 294.98

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Solution

The fourth proportional to 378, 520.94 and 294.98 is: 406.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    378 : 520.94 = 294.98 : x
  2. Step 2: Convert to fraction form
    378/520.94 = 294.98/x
  3. Step 3: Cross multiply
    378x = 520.94 × 294.98
  4. Step 4: Simplify right side
    378x = 153,666.88
  5. Step 5: Solve for x
    x = 153,666.88/378
  6. Step 6: Final answer
    x = 406.53

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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.