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Finding the Fourth Proportional to 391.84, 587.45 and 310.43

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Solution

The fourth proportional to 391.84, 587.45 and 310.43 is: 465.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.84 : 587.45 = 310.43 : x
  2. Step 2: Convert to fraction form
    391.84/587.45 = 310.43/x
  3. Step 3: Cross multiply
    391.84x = 587.45 × 310.43
  4. Step 4: Simplify right side
    391.84x = 182,364.35
  5. Step 5: Solve for x
    x = 182,364.35/391.84
  6. Step 6: Final answer
    x = 465.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.