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Finding the Fourth Proportional to 397.78, 596.94 and 286.54

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Solution

The fourth proportional to 397.78, 596.94 and 286.54 is: 430.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.78 : 596.94 = 286.54 : x
  2. Step 2: Convert to fraction form
    397.78/596.94 = 286.54/x
  3. Step 3: Cross multiply
    397.78x = 596.94 × 286.54
  4. Step 4: Simplify right side
    397.78x = 171,047.19
  5. Step 5: Solve for x
    x = 171,047.19/397.78
  6. Step 6: Final answer
    x = 430.00

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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.