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Finding the Fourth Proportional to 320.76, 441.60 and 265.56

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Solution

The fourth proportional to 320.76, 441.60 and 265.56 is: 365.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.76 : 441.60 = 265.56 : x
  2. Step 2: Convert to fraction form
    320.76/441.60 = 265.56/x
  3. Step 3: Cross multiply
    320.76x = 441.60 × 265.56
  4. Step 4: Simplify right side
    320.76x = 117,271.30
  5. Step 5: Solve for x
    x = 117,271.30/320.76
  6. Step 6: Final answer
    x = 365.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.