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Finding the Fourth Proportional to 452.68, 678.04 and 257.24

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Solution

The fourth proportional to 452.68, 678.04 and 257.24 is: 385.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.68 : 678.04 = 257.24 : x
  2. Step 2: Convert to fraction form
    452.68/678.04 = 257.24/x
  3. Step 3: Cross multiply
    452.68x = 678.04 × 257.24
  4. Step 4: Simplify right side
    452.68x = 174,419.01
  5. Step 5: Solve for x
    x = 174,419.01/452.68
  6. Step 6: Final answer
    x = 385.30

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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.