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Finding the Fourth Proportional to 488.04, 673.65 and 301.56

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Solution

The fourth proportional to 488.04, 673.65 and 301.56 is: 416.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.04 : 673.65 = 301.56 : x
  2. Step 2: Convert to fraction form
    488.04/673.65 = 301.56/x
  3. Step 3: Cross multiply
    488.04x = 673.65 × 301.56
  4. Step 4: Simplify right side
    488.04x = 203,145.89
  5. Step 5: Solve for x
    x = 203,145.89/488.04
  6. Step 6: Final answer
    x = 416.25

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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.