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Finding the Fourth Proportional to 488.28, 673.84 and 291.80

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Solution

The fourth proportional to 488.28, 673.84 and 291.80 is: 402.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.28 : 673.84 = 291.80 : x
  2. Step 2: Convert to fraction form
    488.28/673.84 = 291.80/x
  3. Step 3: Cross multiply
    488.28x = 673.84 × 291.80
  4. Step 4: Simplify right side
    488.28x = 196,626.51
  5. Step 5: Solve for x
    x = 196,626.51/488.28
  6. Step 6: Final answer
    x = 402.69

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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.