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Finding the Fourth Proportional to 487.64, 673.25 and 301.46

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Solution

The fourth proportional to 487.64, 673.25 and 301.46 is: 416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.64 : 673.25 = 301.46 : x
  2. Step 2: Convert to fraction form
    487.64/673.25 = 301.46/x
  3. Step 3: Cross multiply
    487.64x = 673.25 × 301.46
  4. Step 4: Simplify right side
    487.64x = 202,953.07
  5. Step 5: Solve for x
    x = 202,953.07/487.64
  6. Step 6: Final answer
    x = 416.19

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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.