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Finding the Fourth Proportional to 328.19, 452.96 and 208.58

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Solution

The fourth proportional to 328.19, 452.96 and 208.58 is: 287.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.19 : 452.96 = 208.58 : x
  2. Step 2: Convert to fraction form
    328.19/452.96 = 208.58/x
  3. Step 3: Cross multiply
    328.19x = 452.96 × 208.58
  4. Step 4: Simplify right side
    328.19x = 94,478.40
  5. Step 5: Solve for x
    x = 94,478.40/328.19
  6. Step 6: Final answer
    x = 287.88

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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.