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Finding the Fourth Proportional to 428.63, 591.17 and 340.01

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Solution

The fourth proportional to 428.63, 591.17 and 340.01 is: 468.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.63 : 591.17 = 340.01 : x
  2. Step 2: Convert to fraction form
    428.63/591.17 = 340.01/x
  3. Step 3: Cross multiply
    428.63x = 591.17 × 340.01
  4. Step 4: Simplify right side
    428.63x = 201,004.97
  5. Step 5: Solve for x
    x = 201,004.97/428.63
  6. Step 6: Final answer
    x = 468.95

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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.