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Finding the Fourth Proportional to 505.36, 696.96 and 330.76

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Solution

The fourth proportional to 505.36, 696.96 and 330.76 is: 456.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.36 : 696.96 = 330.76 : x
  2. Step 2: Convert to fraction form
    505.36/696.96 = 330.76/x
  3. Step 3: Cross multiply
    505.36x = 696.96 × 330.76
  4. Step 4: Simplify right side
    505.36x = 230,526.49
  5. Step 5: Solve for x
    x = 230,526.49/505.36
  6. Step 6: Final answer
    x = 456.16

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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.