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Finding the Fourth Proportional to 804.58, 1,207.23 and 371.62

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Solution

The fourth proportional to 804.58, 1,207.23 and 371.62 is: 557.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.58 : 1,207.23 = 371.62 : x
  2. Step 2: Convert to fraction form
    804.58/1,207.23 = 371.62/x
  3. Step 3: Cross multiply
    804.58x = 1,207.23 × 371.62
  4. Step 4: Simplify right side
    804.58x = 448,630.81
  5. Step 5: Solve for x
    x = 448,630.81/804.58
  6. Step 6: Final answer
    x = 557.60

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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.