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Finding the Fourth Proportional to 578.56, 797.70 and 453.84

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Solution

The fourth proportional to 578.56, 797.70 and 453.84 is: 625.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.56 : 797.70 = 453.84 : x
  2. Step 2: Convert to fraction form
    578.56/797.70 = 453.84/x
  3. Step 3: Cross multiply
    578.56x = 797.70 × 453.84
  4. Step 4: Simplify right side
    578.56x = 362,028.17
  5. Step 5: Solve for x
    x = 362,028.17/578.56
  6. Step 6: Final answer
    x = 625.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.