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Finding the Fourth Proportional to 412.66, 569.58 and 286.63

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Solution

The fourth proportional to 412.66, 569.58 and 286.63 is: 395.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.66 : 569.58 = 286.63 : x
  2. Step 2: Convert to fraction form
    412.66/569.58 = 286.63/x
  3. Step 3: Cross multiply
    412.66x = 569.58 × 286.63
  4. Step 4: Simplify right side
    412.66x = 163,257.28
  5. Step 5: Solve for x
    x = 163,257.28/412.66
  6. Step 6: Final answer
    x = 395.63

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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.