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Finding the Fourth Proportional to 378.78, 569.23 and 369.51

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Solution

The fourth proportional to 378.78, 569.23 and 369.51 is: 555.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.78 : 569.23 = 369.51 : x
  2. Step 2: Convert to fraction form
    378.78/569.23 = 369.51/x
  3. Step 3: Cross multiply
    378.78x = 569.23 × 369.51
  4. Step 4: Simplify right side
    378.78x = 210,336.32
  5. Step 5: Solve for x
    x = 210,336.32/378.78
  6. Step 6: Final answer
    x = 555.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.