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Finding the Fourth Proportional to 635.16, 952.89 and 288.57

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Solution

The fourth proportional to 635.16, 952.89 and 288.57 is: 432.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.16 : 952.89 = 288.57 : x
  2. Step 2: Convert to fraction form
    635.16/952.89 = 288.57/x
  3. Step 3: Cross multiply
    635.16x = 952.89 × 288.57
  4. Step 4: Simplify right side
    635.16x = 274,975.47
  5. Step 5: Solve for x
    x = 274,975.47/635.16
  6. Step 6: Final answer
    x = 432.92

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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.