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Finding the Fourth Proportional to 364.20, 541.79 and 347.79

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Solution

The fourth proportional to 364.20, 541.79 and 347.79 is: 517.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.20 : 541.79 = 347.79 : x
  2. Step 2: Convert to fraction form
    364.20/541.79 = 347.79/x
  3. Step 3: Cross multiply
    364.20x = 541.79 × 347.79
  4. Step 4: Simplify right side
    364.20x = 188,430.74
  5. Step 5: Solve for x
    x = 188,430.74/364.20
  6. Step 6: Final answer
    x = 517.39

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