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Finding the Fourth Proportional to 328.24, 453.01 and 300.56

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Solution

The fourth proportional to 328.24, 453.01 and 300.56 is: 414.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.24 : 453.01 = 300.56 : x
  2. Step 2: Convert to fraction form
    328.24/453.01 = 300.56/x
  3. Step 3: Cross multiply
    328.24x = 453.01 × 300.56
  4. Step 4: Simplify right side
    328.24x = 136,153.67
  5. Step 5: Solve for x
    x = 136,153.67/328.24
  6. Step 6: Final answer
    x = 414.80

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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.