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Finding the Fourth Proportional to 573.01, 790.46 and 362.83

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Solution

The fourth proportional to 573.01, 790.46 and 362.83 is: 500.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.01 : 790.46 = 362.83 : x
  2. Step 2: Convert to fraction form
    573.01/790.46 = 362.83/x
  3. Step 3: Cross multiply
    573.01x = 790.46 × 362.83
  4. Step 4: Simplify right side
    573.01x = 286,801.65
  5. Step 5: Solve for x
    x = 286,801.65/573.01
  6. Step 6: Final answer
    x = 500.52

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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.