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Finding the Fourth Proportional to 428.52, 591.32 and 253.80

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Solution

The fourth proportional to 428.52, 591.32 and 253.80 is: 350.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.52 : 591.32 = 253.80 : x
  2. Step 2: Convert to fraction form
    428.52/591.32 = 253.80/x
  3. Step 3: Cross multiply
    428.52x = 591.32 × 253.80
  4. Step 4: Simplify right side
    428.52x = 150,077.02
  5. Step 5: Solve for x
    x = 150,077.02/428.52
  6. Step 6: Final answer
    x = 350.22

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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.