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Finding the Fourth Proportional to 594.80, 818.34 and 578.60

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Solution

The fourth proportional to 594.80, 818.34 and 578.60 is: 796.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.80 : 818.34 = 578.60 : x
  2. Step 2: Convert to fraction form
    594.80/818.34 = 578.60/x
  3. Step 3: Cross multiply
    594.80x = 818.34 × 578.60
  4. Step 4: Simplify right side
    594.80x = 473,491.52
  5. Step 5: Solve for x
    x = 473,491.52/594.80
  6. Step 6: Final answer
    x = 796.05

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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.