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Finding the Fourth Proportional to 379.63, 522.72 and 364.06

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Solution

The fourth proportional to 379.63, 522.72 and 364.06 is: 501.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.63 : 522.72 = 364.06 : x
  2. Step 2: Convert to fraction form
    379.63/522.72 = 364.06/x
  3. Step 3: Cross multiply
    379.63x = 522.72 × 364.06
  4. Step 4: Simplify right side
    379.63x = 190,301.44
  5. Step 5: Solve for x
    x = 190,301.44/379.63
  6. Step 6: Final answer
    x = 501.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.