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Finding the Fourth Proportional to 452.58, 678.61 and 178.46

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Solution

The fourth proportional to 452.58, 678.61 and 178.46 is: 267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.58 : 678.61 = 178.46 : x
  2. Step 2: Convert to fraction form
    452.58/678.61 = 178.46/x
  3. Step 3: Cross multiply
    452.58x = 678.61 × 178.46
  4. Step 4: Simplify right side
    452.58x = 121,104.74
  5. Step 5: Solve for x
    x = 121,104.74/452.58
  6. Step 6: Final answer
    x = 267.59

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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.