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Finding the Fourth Proportional to 942.28, 1,412.43 and 393.70

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Solution

The fourth proportional to 942.28, 1,412.43 and 393.70 is: 590.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.28 : 1,412.43 = 393.70 : x
  2. Step 2: Convert to fraction form
    942.28/1,412.43 = 393.70/x
  3. Step 3: Cross multiply
    942.28x = 1,412.43 × 393.70
  4. Step 4: Simplify right side
    942.28x = 556,073.69
  5. Step 5: Solve for x
    x = 556,073.69/942.28
  6. Step 6: Final answer
    x = 590.14

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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.