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Finding the Fourth Proportional to 330.75, 456.70 and 265.55

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Solution

The fourth proportional to 330.75, 456.70 and 265.55 is: 366.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.75 : 456.70 = 265.55 : x
  2. Step 2: Convert to fraction form
    330.75/456.70 = 265.55/x
  3. Step 3: Cross multiply
    330.75x = 456.70 × 265.55
  4. Step 4: Simplify right side
    330.75x = 121,276.45
  5. Step 5: Solve for x
    x = 121,276.45/330.75
  6. Step 6: Final answer
    x = 366.67

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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.