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Finding the Fourth Proportional to 379.42, 569.40 and 206.08

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Solution

The fourth proportional to 379.42, 569.40 and 206.08 is: 309.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.42 : 569.40 = 206.08 : x
  2. Step 2: Convert to fraction form
    379.42/569.40 = 206.08/x
  3. Step 3: Cross multiply
    379.42x = 569.40 × 206.08
  4. Step 4: Simplify right side
    379.42x = 117,341.95
  5. Step 5: Solve for x
    x = 117,341.95/379.42
  6. Step 6: Final answer
    x = 309.27

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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.