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Finding the Fourth Proportional to 672.60, 1,009.20 and 364.09

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Solution

The fourth proportional to 672.60, 1,009.20 and 364.09 is: 546.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.60 : 1,009.20 = 364.09 : x
  2. Step 2: Convert to fraction form
    672.60/1,009.20 = 364.09/x
  3. Step 3: Cross multiply
    672.60x = 1,009.20 × 364.09
  4. Step 4: Simplify right side
    672.60x = 367,439.63
  5. Step 5: Solve for x
    x = 367,439.63/672.60
  6. Step 6: Final answer
    x = 546.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.