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Finding the Fourth Proportional to 425.21, 586.42 and 342.30

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Solution

The fourth proportional to 425.21, 586.42 and 342.30 is: 472.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.21 : 586.42 = 342.30 : x
  2. Step 2: Convert to fraction form
    425.21/586.42 = 342.30/x
  3. Step 3: Cross multiply
    425.21x = 586.42 × 342.30
  4. Step 4: Simplify right side
    425.21x = 200,731.57
  5. Step 5: Solve for x
    x = 200,731.57/425.21
  6. Step 6: Final answer
    x = 472.08

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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.