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Finding the Fourth Proportional to 578.76, 798.69 and 357.63

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Solution

The fourth proportional to 578.76, 798.69 and 357.63 is: 493.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.76 : 798.69 = 357.63 : x
  2. Step 2: Convert to fraction form
    578.76/798.69 = 357.63/x
  3. Step 3: Cross multiply
    578.76x = 798.69 × 357.63
  4. Step 4: Simplify right side
    578.76x = 285,635.50
  5. Step 5: Solve for x
    x = 285,635.50/578.76
  6. Step 6: Final answer
    x = 493.53

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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.