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Finding the Fourth Proportional to 391.29, 540.21 and 258.72

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Solution

The fourth proportional to 391.29, 540.21 and 258.72 is: 357.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.29 : 540.21 = 258.72 : x
  2. Step 2: Convert to fraction form
    391.29/540.21 = 258.72/x
  3. Step 3: Cross multiply
    391.29x = 540.21 × 258.72
  4. Step 4: Simplify right side
    391.29x = 139,763.13
  5. Step 5: Solve for x
    x = 139,763.13/391.29
  6. Step 6: Final answer
    x = 357.19

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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.