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Finding the Fourth Proportional to 578.56, 797.20 and 438.40

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Solution

The fourth proportional to 578.56, 797.20 and 438.40 is: 604.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.56 : 797.20 = 438.40 : x
  2. Step 2: Convert to fraction form
    578.56/797.20 = 438.40/x
  3. Step 3: Cross multiply
    578.56x = 797.20 × 438.40
  4. Step 4: Simplify right side
    578.56x = 349,492.48
  5. Step 5: Solve for x
    x = 349,492.48/578.56
  6. Step 6: Final answer
    x = 604.07

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