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Finding the Fourth Proportional to 505.41, 697.47 and 330.75

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Solution

The fourth proportional to 505.41, 697.47 and 330.75 is: 456.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.41 : 697.47 = 330.75 : x
  2. Step 2: Convert to fraction form
    505.41/697.47 = 330.75/x
  3. Step 3: Cross multiply
    505.41x = 697.47 × 330.75
  4. Step 4: Simplify right side
    505.41x = 230,686.96
  5. Step 5: Solve for x
    x = 230,686.96/505.41
  6. Step 6: Final answer
    x = 456.44

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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.