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Finding the Fourth Proportional to 378.36, 564.75 and 364.32

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Solution

The fourth proportional to 378.36, 564.75 and 364.32 is: 543.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.36 : 564.75 = 364.32 : x
  2. Step 2: Convert to fraction form
    378.36/564.75 = 364.32/x
  3. Step 3: Cross multiply
    378.36x = 564.75 × 364.32
  4. Step 4: Simplify right side
    378.36x = 205,749.72
  5. Step 5: Solve for x
    x = 205,749.72/378.36
  6. Step 6: Final answer
    x = 543.79

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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.