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Finding the Fourth Proportional to 328.65, 492.57 and 198.24

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Solution

The fourth proportional to 328.65, 492.57 and 198.24 is: 297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.65 : 492.57 = 198.24 : x
  2. Step 2: Convert to fraction form
    328.65/492.57 = 198.24/x
  3. Step 3: Cross multiply
    328.65x = 492.57 × 198.24
  4. Step 4: Simplify right side
    328.65x = 97,647.08
  5. Step 5: Solve for x
    x = 97,647.08/328.65
  6. Step 6: Final answer
    x = 297.12

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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.