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Finding the Fourth Proportional to 804.38, 1,205.39 and 359.10

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Solution

The fourth proportional to 804.38, 1,205.39 and 359.10 is: 538.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.38 : 1,205.39 = 359.10 : x
  2. Step 2: Convert to fraction form
    804.38/1,205.39 = 359.10/x
  3. Step 3: Cross multiply
    804.38x = 1,205.39 × 359.10
  4. Step 4: Simplify right side
    804.38x = 432,856.77
  5. Step 5: Solve for x
    x = 432,856.77/804.38
  6. Step 6: Final answer
    x = 538.13

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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.