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Finding the Fourth Proportional to 428.52, 591.38 and 281.24

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Solution

The fourth proportional to 428.52, 591.38 and 281.24 is: 388.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.52 : 591.38 = 281.24 : x
  2. Step 2: Convert to fraction form
    428.52/591.38 = 281.24/x
  3. Step 3: Cross multiply
    428.52x = 591.38 × 281.24
  4. Step 4: Simplify right side
    428.52x = 166,319.71
  5. Step 5: Solve for x
    x = 166,319.71/428.52
  6. Step 6: Final answer
    x = 388.13

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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.