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Finding the Fourth Proportional to 428.14, 590.64 and 253.39

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Solution

The fourth proportional to 428.14, 590.64 and 253.39 is: 349.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.14 : 590.64 = 253.39 : x
  2. Step 2: Convert to fraction form
    428.14/590.64 = 253.39/x
  3. Step 3: Cross multiply
    428.14x = 590.64 × 253.39
  4. Step 4: Simplify right side
    428.14x = 149,662.27
  5. Step 5: Solve for x
    x = 149,662.27/428.14
  6. Step 6: Final answer
    x = 349.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.