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Finding the Fourth Proportional to 328.03, 491.67 and 289.62

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Solution

The fourth proportional to 328.03, 491.67 and 289.62 is: 434.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.03 : 491.67 = 289.62 : x
  2. Step 2: Convert to fraction form
    328.03/491.67 = 289.62/x
  3. Step 3: Cross multiply
    328.03x = 491.67 × 289.62
  4. Step 4: Simplify right side
    328.03x = 142,397.47
  5. Step 5: Solve for x
    x = 142,397.47/328.03
  6. Step 6: Final answer
    x = 434.10

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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.