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Finding the Fourth Proportional to 427.60, 642.88 and 342.04

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Solution

The fourth proportional to 427.60, 642.88 and 342.04 is: 514.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.60 : 642.88 = 342.04 : x
  2. Step 2: Convert to fraction form
    427.60/642.88 = 342.04/x
  3. Step 3: Cross multiply
    427.60x = 642.88 × 342.04
  4. Step 4: Simplify right side
    427.60x = 219,890.68
  5. Step 5: Solve for x
    x = 219,890.68/427.60
  6. Step 6: Final answer
    x = 514.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.