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Finding the Fourth Proportional to 804.40, 1,205.70 and 342.10

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Solution

The fourth proportional to 804.40, 1,205.70 and 342.10 is: 512.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.40 : 1,205.70 = 342.10 : x
  2. Step 2: Convert to fraction form
    804.40/1,205.70 = 342.10/x
  3. Step 3: Cross multiply
    804.40x = 1,205.70 × 342.10
  4. Step 4: Simplify right side
    804.40x = 412,469.97
  5. Step 5: Solve for x
    x = 412,469.97/804.40
  6. Step 6: Final answer
    x = 512.77

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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.