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Finding the Fourth Proportional to 574.60, 793.02 and 365.08

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Solution

The fourth proportional to 574.60, 793.02 and 365.08 is: 503.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.60 : 793.02 = 365.08 : x
  2. Step 2: Convert to fraction form
    574.60/793.02 = 365.08/x
  3. Step 3: Cross multiply
    574.60x = 793.02 × 365.08
  4. Step 4: Simplify right side
    574.60x = 289,515.74
  5. Step 5: Solve for x
    x = 289,515.74/574.60
  6. Step 6: Final answer
    x = 503.86

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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.