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Finding the Fourth Proportional to 428.02, 590.58 and 253.37

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Solution

The fourth proportional to 428.02, 590.58 and 253.37 is: 349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.02 : 590.58 = 253.37 : x
  2. Step 2: Convert to fraction form
    428.02/590.58 = 253.37/x
  3. Step 3: Cross multiply
    428.02x = 590.58 × 253.37
  4. Step 4: Simplify right side
    428.02x = 149,636.73
  5. Step 5: Solve for x
    x = 149,636.73/428.02
  6. Step 6: Final answer
    x = 349.60

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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.