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Finding the Fourth Proportional to 412.83, 569.61 and 280.07

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Solution

The fourth proportional to 412.83, 569.61 and 280.07 is: 386.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.83 : 569.61 = 280.07 : x
  2. Step 2: Convert to fraction form
    412.83/569.61 = 280.07/x
  3. Step 3: Cross multiply
    412.83x = 569.61 × 280.07
  4. Step 4: Simplify right side
    412.83x = 159,529.96
  5. Step 5: Solve for x
    x = 159,529.96/412.83
  6. Step 6: Final answer
    x = 386.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.