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Finding the Fourth Proportional to 428.08, 590.64 and 253.44

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Solution

The fourth proportional to 428.08, 590.64 and 253.44 is: 349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.08 : 590.64 = 253.44 : x
  2. Step 2: Convert to fraction form
    428.08/590.64 = 253.44/x
  3. Step 3: Cross multiply
    428.08x = 590.64 × 253.44
  4. Step 4: Simplify right side
    428.08x = 149,691.80
  5. Step 5: Solve for x
    x = 149,691.80/428.08
  6. Step 6: Final answer
    x = 349.68

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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.