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Finding the Fourth Proportional to 428.74, 591.97 and 263.01

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Solution

The fourth proportional to 428.74, 591.97 and 263.01 is: 363.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.74 : 591.97 = 263.01 : x
  2. Step 2: Convert to fraction form
    428.74/591.97 = 263.01/x
  3. Step 3: Cross multiply
    428.74x = 591.97 × 263.01
  4. Step 4: Simplify right side
    428.74x = 155,693.96
  5. Step 5: Solve for x
    x = 155,693.96/428.74
  6. Step 6: Final answer
    x = 363.14

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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.