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Finding the Fourth Proportional to 435.14, 596.60 and 427.34

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Solution

The fourth proportional to 435.14, 596.60 and 427.34 is: 585.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.14 : 596.60 = 427.34 : x
  2. Step 2: Convert to fraction form
    435.14/596.60 = 427.34/x
  3. Step 3: Cross multiply
    435.14x = 596.60 × 427.34
  4. Step 4: Simplify right side
    435.14x = 254,952.00
  5. Step 5: Solve for x
    x = 254,952.00/435.14
  6. Step 6: Final answer
    x = 585.91

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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.