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Finding the Fourth Proportional to 435.52, 597.56 and 431.44

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Solution

The fourth proportional to 435.52, 597.56 and 431.44 is: 591.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.52 : 597.56 = 431.44 : x
  2. Step 2: Convert to fraction form
    435.52/597.56 = 431.44/x
  3. Step 3: Cross multiply
    435.52x = 597.56 × 431.44
  4. Step 4: Simplify right side
    435.52x = 257,811.29
  5. Step 5: Solve for x
    x = 257,811.29/435.52
  6. Step 6: Final answer
    x = 591.96

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.