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Finding the Fourth Proportional to 428.14, 590.79 and 253.42

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Solution

The fourth proportional to 428.14, 590.79 and 253.42 is: 349.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.14 : 590.79 = 253.42 : x
  2. Step 2: Convert to fraction form
    428.14/590.79 = 253.42/x
  3. Step 3: Cross multiply
    428.14x = 590.79 × 253.42
  4. Step 4: Simplify right side
    428.14x = 149,718.00
  5. Step 5: Solve for x
    x = 149,718.00/428.14
  6. Step 6: Final answer
    x = 349.69

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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.