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Finding the Fourth Proportional to 328.10, 494.01 and 289.82

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Solution

The fourth proportional to 328.10, 494.01 and 289.82 is: 436.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.10 : 494.01 = 289.82 : x
  2. Step 2: Convert to fraction form
    328.10/494.01 = 289.82/x
  3. Step 3: Cross multiply
    328.10x = 494.01 × 289.82
  4. Step 4: Simplify right side
    328.10x = 143,171.51
  5. Step 5: Solve for x
    x = 143,171.51/328.10
  6. Step 6: Final answer
    x = 436.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.