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Finding the Fourth Proportional to 503.22, 693.48 and 433.25

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Solution

The fourth proportional to 503.22, 693.48 and 433.25 is: 597.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.22 : 693.48 = 433.25 : x
  2. Step 2: Convert to fraction form
    503.22/693.48 = 433.25/x
  3. Step 3: Cross multiply
    503.22x = 693.48 × 433.25
  4. Step 4: Simplify right side
    503.22x = 300,452.43
  5. Step 5: Solve for x
    x = 300,452.43/503.22
  6. Step 6: Final answer
    x = 597.06

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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.