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Finding the Fourth Proportional to 488.01, 673.52 and 299.06

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Solution

The fourth proportional to 488.01, 673.52 and 299.06 is: 412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.01 : 673.52 = 299.06 : x
  2. Step 2: Convert to fraction form
    488.01/673.52 = 299.06/x
  3. Step 3: Cross multiply
    488.01x = 673.52 × 299.06
  4. Step 4: Simplify right side
    488.01x = 201,422.89
  5. Step 5: Solve for x
    x = 201,422.89/488.01
  6. Step 6: Final answer
    x = 412.75

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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.