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Finding the Fourth Proportional to 428.50, 591.41 and 253.84

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Solution

The fourth proportional to 428.50, 591.41 and 253.84 is: 350.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.50 : 591.41 = 253.84 : x
  2. Step 2: Convert to fraction form
    428.50/591.41 = 253.84/x
  3. Step 3: Cross multiply
    428.50x = 591.41 × 253.84
  4. Step 4: Simplify right side
    428.50x = 150,123.51
  5. Step 5: Solve for x
    x = 150,123.51/428.50
  6. Step 6: Final answer
    x = 350.35

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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.