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Finding the Fourth Proportional to 487.99, 673.62 and 301.42

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Solution

The fourth proportional to 487.99, 673.62 and 301.42 is: 416.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.99 : 673.62 = 301.42 : x
  2. Step 2: Convert to fraction form
    487.99/673.62 = 301.42/x
  3. Step 3: Cross multiply
    487.99x = 673.62 × 301.42
  4. Step 4: Simplify right side
    487.99x = 203,039.17
  5. Step 5: Solve for x
    x = 203,039.17/487.99
  6. Step 6: Final answer
    x = 416.08

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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.