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Finding the Fourth Proportional to 328.04, 491.76 and 111.47

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Solution

The fourth proportional to 328.04, 491.76 and 111.47 is: 167.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.04 : 491.76 = 111.47 : x
  2. Step 2: Convert to fraction form
    328.04/491.76 = 111.47/x
  3. Step 3: Cross multiply
    328.04x = 491.76 × 111.47
  4. Step 4: Simplify right side
    328.04x = 54,817.72
  5. Step 5: Solve for x
    x = 54,817.72/328.04
  6. Step 6: Final answer
    x = 167.11

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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.