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Finding the Fourth Proportional to 328.12, 452.84 and 263.08

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Solution

The fourth proportional to 328.12, 452.84 and 263.08 is: 363.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.12 : 452.84 = 263.08 : x
  2. Step 2: Convert to fraction form
    328.12/452.84 = 263.08/x
  3. Step 3: Cross multiply
    328.12x = 452.84 × 263.08
  4. Step 4: Simplify right side
    328.12x = 119,133.15
  5. Step 5: Solve for x
    x = 119,133.15/328.12
  6. Step 6: Final answer
    x = 363.08

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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.