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Finding the Fourth Proportional to 573.06, 790.89 and 537.88

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Solution

The fourth proportional to 573.06, 790.89 and 537.88 is: 742.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.06 : 790.89 = 537.88 : x
  2. Step 2: Convert to fraction form
    573.06/790.89 = 537.88/x
  3. Step 3: Cross multiply
    573.06x = 790.89 × 537.88
  4. Step 4: Simplify right side
    573.06x = 425,403.95
  5. Step 5: Solve for x
    x = 425,403.95/573.06
  6. Step 6: Final answer
    x = 742.33

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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.