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Finding the Fourth Proportional to 635.94, 952.35 and 574.38

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Solution

The fourth proportional to 635.94, 952.35 and 574.38 is: 860.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.94 : 952.35 = 574.38 : x
  2. Step 2: Convert to fraction form
    635.94/952.35 = 574.38/x
  3. Step 3: Cross multiply
    635.94x = 952.35 × 574.38
  4. Step 4: Simplify right side
    635.94x = 547,010.79
  5. Step 5: Solve for x
    x = 547,010.79/635.94
  6. Step 6: Final answer
    x = 860.16

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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.