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Finding the Fourth Proportional to 597.22, 823.80 and 387.06

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Solution

The fourth proportional to 597.22, 823.80 and 387.06 is: 533.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.22 : 823.80 = 387.06 : x
  2. Step 2: Convert to fraction form
    597.22/823.80 = 387.06/x
  3. Step 3: Cross multiply
    597.22x = 823.80 × 387.06
  4. Step 4: Simplify right side
    597.22x = 318,860.03
  5. Step 5: Solve for x
    x = 318,860.03/597.22
  6. Step 6: Final answer
    x = 533.91

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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.