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Finding the Fourth Proportional to 487.84, 673.23 and 278.02

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Solution

The fourth proportional to 487.84, 673.23 and 278.02 is: 383.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.84 : 673.23 = 278.02 : x
  2. Step 2: Convert to fraction form
    487.84/673.23 = 278.02/x
  3. Step 3: Cross multiply
    487.84x = 673.23 × 278.02
  4. Step 4: Simplify right side
    487.84x = 187,171.40
  5. Step 5: Solve for x
    x = 187,171.40/487.84
  6. Step 6: Final answer
    x = 383.67

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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.