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Finding the Fourth Proportional to 452.67, 678.51 and 257.41

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Solution

The fourth proportional to 452.67, 678.51 and 257.41 is: 385.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.67 : 678.51 = 257.41 : x
  2. Step 2: Convert to fraction form
    452.67/678.51 = 257.41/x
  3. Step 3: Cross multiply
    452.67x = 678.51 × 257.41
  4. Step 4: Simplify right side
    452.67x = 174,655.26
  5. Step 5: Solve for x
    x = 174,655.26/452.67
  6. Step 6: Final answer
    x = 385.83

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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.