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Finding the Fourth Proportional to 391.04, 589.50 and 364.62

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Solution

The fourth proportional to 391.04, 589.50 and 364.62 is: 549.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.04 : 589.50 = 364.62 : x
  2. Step 2: Convert to fraction form
    391.04/589.50 = 364.62/x
  3. Step 3: Cross multiply
    391.04x = 589.50 × 364.62
  4. Step 4: Simplify right side
    391.04x = 214,943.49
  5. Step 5: Solve for x
    x = 214,943.49/391.04
  6. Step 6: Final answer
    x = 549.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.