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Finding the Fourth Proportional to 431.66, 642.57 and 427.01

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Solution

The fourth proportional to 431.66, 642.57 and 427.01 is: 635.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.66 : 642.57 = 427.01 : x
  2. Step 2: Convert to fraction form
    431.66/642.57 = 427.01/x
  3. Step 3: Cross multiply
    431.66x = 642.57 × 427.01
  4. Step 4: Simplify right side
    431.66x = 274,379.00
  5. Step 5: Solve for x
    x = 274,379.00/431.66
  6. Step 6: Final answer
    x = 635.63

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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.