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Finding the Fourth Proportional to 412.80, 569.57 and 302.09

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Solution

The fourth proportional to 412.80, 569.57 and 302.09 is: 416.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.80 : 569.57 = 302.09 : x
  2. Step 2: Convert to fraction form
    412.80/569.57 = 302.09/x
  3. Step 3: Cross multiply
    412.80x = 569.57 × 302.09
  4. Step 4: Simplify right side
    412.80x = 172,059.76
  5. Step 5: Solve for x
    x = 172,059.76/412.80
  6. Step 6: Final answer
    x = 416.81

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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.