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Finding the Fourth Proportional to 452.93, 678.99 and 209.26

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Solution

The fourth proportional to 452.93, 678.99 and 209.26 is: 313.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.93 : 678.99 = 209.26 : x
  2. Step 2: Convert to fraction form
    452.93/678.99 = 209.26/x
  3. Step 3: Cross multiply
    452.93x = 678.99 × 209.26
  4. Step 4: Simplify right side
    452.93x = 142,082.05
  5. Step 5: Solve for x
    x = 142,082.05/452.93
  6. Step 6: Final answer
    x = 313.70

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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.