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Finding the Fourth Proportional to 328.14, 494.55 and 288.09

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Solution

The fourth proportional to 328.14, 494.55 and 288.09 is: 434.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.14 : 494.55 = 288.09 : x
  2. Step 2: Convert to fraction form
    328.14/494.55 = 288.09/x
  3. Step 3: Cross multiply
    328.14x = 494.55 × 288.09
  4. Step 4: Simplify right side
    328.14x = 142,474.91
  5. Step 5: Solve for x
    x = 142,474.91/328.14
  6. Step 6: Final answer
    x = 434.19

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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.