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Finding the Fourth Proportional to 379.63, 569.07 and 194.53

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Solution

The fourth proportional to 379.63, 569.07 and 194.53 is: 291.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.63 : 569.07 = 194.53 : x
  2. Step 2: Convert to fraction form
    379.63/569.07 = 194.53/x
  3. Step 3: Cross multiply
    379.63x = 569.07 × 194.53
  4. Step 4: Simplify right side
    379.63x = 110,699.76
  5. Step 5: Solve for x
    x = 110,699.76/379.63
  6. Step 6: Final answer
    x = 291.60

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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.