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Finding the Fourth Proportional to 328.32, 491.84 and 252.16

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Solution

The fourth proportional to 328.32, 491.84 and 252.16 is: 377.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.32 : 491.84 = 252.16 : x
  2. Step 2: Convert to fraction form
    328.32/491.84 = 252.16/x
  3. Step 3: Cross multiply
    328.32x = 491.84 × 252.16
  4. Step 4: Simplify right side
    328.32x = 124,022.37
  5. Step 5: Solve for x
    x = 124,022.37/328.32
  6. Step 6: Final answer
    x = 377.75

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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.