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Finding the Fourth Proportional to 379.79, 569.27 and 160.35

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Solution

The fourth proportional to 379.79, 569.27 and 160.35 is: 240.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.79 : 569.27 = 160.35 : x
  2. Step 2: Convert to fraction form
    379.79/569.27 = 160.35/x
  3. Step 3: Cross multiply
    379.79x = 569.27 × 160.35
  4. Step 4: Simplify right side
    379.79x = 91,281.64
  5. Step 5: Solve for x
    x = 91,281.64/379.79
  6. Step 6: Final answer
    x = 240.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.