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Finding the Fourth Proportional to 328.65, 452.95 and 230.23

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Solution

The fourth proportional to 328.65, 452.95 and 230.23 is: 317.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.65 : 452.95 = 230.23 : x
  2. Step 2: Convert to fraction form
    328.65/452.95 = 230.23/x
  3. Step 3: Cross multiply
    328.65x = 452.95 × 230.23
  4. Step 4: Simplify right side
    328.65x = 104,282.68
  5. Step 5: Solve for x
    x = 104,282.68/328.65
  6. Step 6: Final answer
    x = 317.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.