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Finding the Fourth Proportional to 488.17, 673.54 and 299.22

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Solution

The fourth proportional to 488.17, 673.54 and 299.22 is: 412.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.17 : 673.54 = 299.22 : x
  2. Step 2: Convert to fraction form
    488.17/673.54 = 299.22/x
  3. Step 3: Cross multiply
    488.17x = 673.54 × 299.22
  4. Step 4: Simplify right side
    488.17x = 201,536.64
  5. Step 5: Solve for x
    x = 201,536.64/488.17
  6. Step 6: Final answer
    x = 412.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.