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Finding the Fourth Proportional to 328.01, 491.76 and 154.59

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Solution

The fourth proportional to 328.01, 491.76 and 154.59 is: 231.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.01 : 491.76 = 154.59 : x
  2. Step 2: Convert to fraction form
    328.01/491.76 = 154.59/x
  3. Step 3: Cross multiply
    328.01x = 491.76 × 154.59
  4. Step 4: Simplify right side
    328.01x = 76,020.79
  5. Step 5: Solve for x
    x = 76,020.79/328.01
  6. Step 6: Final answer
    x = 231.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.