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Finding the Fourth Proportional to 635.38, 952.82 and 430.01

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Solution

The fourth proportional to 635.38, 952.82 and 430.01 is: 644.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.38 : 952.82 = 430.01 : x
  2. Step 2: Convert to fraction form
    635.38/952.82 = 430.01/x
  3. Step 3: Cross multiply
    635.38x = 952.82 × 430.01
  4. Step 4: Simplify right side
    635.38x = 409,715.21
  5. Step 5: Solve for x
    x = 409,715.21/635.38
  6. Step 6: Final answer
    x = 644.84

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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.