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Finding the Fourth Proportional to 452.83, 678.37 and 379.53

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Solution

The fourth proportional to 452.83, 678.37 and 379.53 is: 568.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.83 : 678.37 = 379.53 : x
  2. Step 2: Convert to fraction form
    452.83/678.37 = 379.53/x
  3. Step 3: Cross multiply
    452.83x = 678.37 × 379.53
  4. Step 4: Simplify right side
    452.83x = 257,461.77
  5. Step 5: Solve for x
    x = 257,461.77/452.83
  6. Step 6: Final answer
    x = 568.56

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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.