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Finding the Fourth Proportional to 452.56, 678.51 and 208.93

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Solution

The fourth proportional to 452.56, 678.51 and 208.93 is: 313.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.56 : 678.51 = 208.93 : x
  2. Step 2: Convert to fraction form
    452.56/678.51 = 208.93/x
  3. Step 3: Cross multiply
    452.56x = 678.51 × 208.93
  4. Step 4: Simplify right side
    452.56x = 141,761.09
  5. Step 5: Solve for x
    x = 141,761.09/452.56
  6. Step 6: Final answer
    x = 313.24

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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.