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Finding the Fourth Proportional to 425.02, 635.07 and 342.80

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Solution

The fourth proportional to 425.02, 635.07 and 342.80 is: 512.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.02 : 635.07 = 342.80 : x
  2. Step 2: Convert to fraction form
    425.02/635.07 = 342.80/x
  3. Step 3: Cross multiply
    425.02x = 635.07 × 342.80
  4. Step 4: Simplify right side
    425.02x = 217,702.00
  5. Step 5: Solve for x
    x = 217,702.00/425.02
  6. Step 6: Final answer
    x = 512.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.