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Finding the Fourth Proportional to 635.53, 952.64 and 392.23

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Solution

The fourth proportional to 635.53, 952.64 and 392.23 is: 587.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.53 : 952.64 = 392.23 : x
  2. Step 2: Convert to fraction form
    635.53/952.64 = 392.23/x
  3. Step 3: Cross multiply
    635.53x = 952.64 × 392.23
  4. Step 4: Simplify right side
    635.53x = 373,653.99
  5. Step 5: Solve for x
    x = 373,653.99/635.53
  6. Step 6: Final answer
    x = 587.94

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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.