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Finding the Fourth Proportional to 505.53, 697.46 and 328.44

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Solution

The fourth proportional to 505.53, 697.46 and 328.44 is: 453.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.53 : 697.46 = 328.44 : x
  2. Step 2: Convert to fraction form
    505.53/697.46 = 328.44/x
  3. Step 3: Cross multiply
    505.53x = 697.46 × 328.44
  4. Step 4: Simplify right side
    505.53x = 229,072.12
  5. Step 5: Solve for x
    x = 229,072.12/505.53
  6. Step 6: Final answer
    x = 453.13

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Why These Related Problems?

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