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Finding the Fourth Proportional to 428.04, 591.30 and 340.60

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Solution

The fourth proportional to 428.04, 591.30 and 340.60 is: 470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.04 : 591.30 = 340.60 : x
  2. Step 2: Convert to fraction form
    428.04/591.30 = 340.60/x
  3. Step 3: Cross multiply
    428.04x = 591.30 × 340.60
  4. Step 4: Simplify right side
    428.04x = 201,396.78
  5. Step 5: Solve for x
    x = 201,396.78/428.04
  6. Step 6: Final answer
    x = 470.51

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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.