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Finding the Fourth Proportional to 573.50, 790.62 and 473.57

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Solution

The fourth proportional to 573.50, 790.62 and 473.57 is: 652.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.50 : 790.62 = 473.57 : x
  2. Step 2: Convert to fraction form
    573.50/790.62 = 473.57/x
  3. Step 3: Cross multiply
    573.50x = 790.62 × 473.57
  4. Step 4: Simplify right side
    573.50x = 374,409.96
  5. Step 5: Solve for x
    x = 374,409.96/573.50
  6. Step 6: Final answer
    x = 652.86

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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.