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Finding the Fourth Proportional to 328.16, 491.70 and 231.50

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Solution

The fourth proportional to 328.16, 491.70 and 231.50 is: 346.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.16 : 491.70 = 231.50 : x
  2. Step 2: Convert to fraction form
    328.16/491.70 = 231.50/x
  3. Step 3: Cross multiply
    328.16x = 491.70 × 231.50
  4. Step 4: Simplify right side
    328.16x = 113,828.55
  5. Step 5: Solve for x
    x = 113,828.55/328.16
  6. Step 6: Final answer
    x = 346.87

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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.