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Finding the Fourth Proportional to 452.08, 678.24 and 208.72

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Solution

The fourth proportional to 452.08, 678.24 and 208.72 is: 313.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.08 : 678.24 = 208.72 : x
  2. Step 2: Convert to fraction form
    452.08/678.24 = 208.72/x
  3. Step 3: Cross multiply
    452.08x = 678.24 × 208.72
  4. Step 4: Simplify right side
    452.08x = 141,562.25
  5. Step 5: Solve for x
    x = 141,562.25/452.08
  6. Step 6: Final answer
    x = 313.14

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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.