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Finding the Fourth Proportional to 379.08, 571.19 and 312.10

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Solution

The fourth proportional to 379.08, 571.19 and 312.10 is: 470.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.08 : 571.19 = 312.10 : x
  2. Step 2: Convert to fraction form
    379.08/571.19 = 312.10/x
  3. Step 3: Cross multiply
    379.08x = 571.19 × 312.10
  4. Step 4: Simplify right side
    379.08x = 178,268.40
  5. Step 5: Solve for x
    x = 178,268.40/379.08
  6. Step 6: Final answer
    x = 470.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.