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Finding the Fourth Proportional to 328.59, 493.07 and 155.23

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Solution

The fourth proportional to 328.59, 493.07 and 155.23 is: 232.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.59 : 493.07 = 155.23 : x
  2. Step 2: Convert to fraction form
    328.59/493.07 = 155.23/x
  3. Step 3: Cross multiply
    328.59x = 493.07 × 155.23
  4. Step 4: Simplify right side
    328.59x = 76,537.25
  5. Step 5: Solve for x
    x = 76,537.25/328.59
  6. Step 6: Final answer
    x = 232.93

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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.