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Finding the Fourth Proportional to 573.80, 790.92 and 407.76

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Solution

The fourth proportional to 573.80, 790.92 and 407.76 is: 562.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.80 : 790.92 = 407.76 : x
  2. Step 2: Convert to fraction form
    573.80/790.92 = 407.76/x
  3. Step 3: Cross multiply
    573.80x = 790.92 × 407.76
  4. Step 4: Simplify right side
    573.80x = 322,505.54
  5. Step 5: Solve for x
    x = 322,505.54/573.80
  6. Step 6: Final answer
    x = 562.05

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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.