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Finding the Fourth Proportional to 392.63, 541.67 and 258.08

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Solution

The fourth proportional to 392.63, 541.67 and 258.08 is: 356.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.63 : 541.67 = 258.08 : x
  2. Step 2: Convert to fraction form
    392.63/541.67 = 258.08/x
  3. Step 3: Cross multiply
    392.63x = 541.67 × 258.08
  4. Step 4: Simplify right side
    392.63x = 139,790.19
  5. Step 5: Solve for x
    x = 139,790.19/392.63
  6. Step 6: Final answer
    x = 356.04

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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.