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Finding the Fourth Proportional to 573.87, 790.81 and 407.80

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Solution

The fourth proportional to 573.87, 790.81 and 407.80 is: 561.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.87 : 790.81 = 407.80 : x
  2. Step 2: Convert to fraction form
    573.87/790.81 = 407.80/x
  3. Step 3: Cross multiply
    573.87x = 790.81 × 407.80
  4. Step 4: Simplify right side
    573.87x = 322,494.58
  5. Step 5: Solve for x
    x = 322,494.58/573.87
  6. Step 6: Final answer
    x = 561.96

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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.