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Finding the Fourth Proportional to 391.48, 541.02 and 313.72

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Solution

The fourth proportional to 391.48, 541.02 and 313.72 is: 433.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.48 : 541.02 = 313.72 : x
  2. Step 2: Convert to fraction form
    391.48/541.02 = 313.72/x
  3. Step 3: Cross multiply
    391.48x = 541.02 × 313.72
  4. Step 4: Simplify right side
    391.48x = 169,728.79
  5. Step 5: Solve for x
    x = 169,728.79/391.48
  6. Step 6: Final answer
    x = 433.56

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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.