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Finding the Fourth Proportional to 412.96, 569.68 and 288.74

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Solution

The fourth proportional to 412.96, 569.68 and 288.74 is: 398.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.96 : 569.68 = 288.74 : x
  2. Step 2: Convert to fraction form
    412.96/569.68 = 288.74/x
  3. Step 3: Cross multiply
    412.96x = 569.68 × 288.74
  4. Step 4: Simplify right side
    412.96x = 164,489.40
  5. Step 5: Solve for x
    x = 164,489.40/412.96
  6. Step 6: Final answer
    x = 398.32

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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.