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Finding the Fourth Proportional to 452.69, 675.78 and 420.57

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Solution

The fourth proportional to 452.69, 675.78 and 420.57 is: 627.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.69 : 675.78 = 420.57 : x
  2. Step 2: Convert to fraction form
    452.69/675.78 = 420.57/x
  3. Step 3: Cross multiply
    452.69x = 675.78 × 420.57
  4. Step 4: Simplify right side
    452.69x = 284,212.79
  5. Step 5: Solve for x
    x = 284,212.79/452.69
  6. Step 6: Final answer
    x = 627.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.