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Finding the Fourth Proportional to 578.80, 797.16 and 537.04

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Solution

The fourth proportional to 578.80, 797.16 and 537.04 is: 739.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.80 : 797.16 = 537.04 : x
  2. Step 2: Convert to fraction form
    578.80/797.16 = 537.04/x
  3. Step 3: Cross multiply
    578.80x = 797.16 × 537.04
  4. Step 4: Simplify right side
    578.80x = 428,106.81
  5. Step 5: Solve for x
    x = 428,106.81/578.80
  6. Step 6: Final answer
    x = 739.65

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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.