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Finding the Fourth Proportional to 388.52, 581.96 and 301.54

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Solution

The fourth proportional to 388.52, 581.96 and 301.54 is: 451.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.52 : 581.96 = 301.54 : x
  2. Step 2: Convert to fraction form
    388.52/581.96 = 301.54/x
  3. Step 3: Cross multiply
    388.52x = 581.96 × 301.54
  4. Step 4: Simplify right side
    388.52x = 175,484.22
  5. Step 5: Solve for x
    x = 175,484.22/388.52
  6. Step 6: Final answer
    x = 451.67

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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.