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Finding the Fourth Proportional to 635.30, 877.57 and 511.44

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Solution

The fourth proportional to 635.30, 877.57 and 511.44 is: 706.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.30 : 877.57 = 511.44 : x
  2. Step 2: Convert to fraction form
    635.30/877.57 = 511.44/x
  3. Step 3: Cross multiply
    635.30x = 877.57 × 511.44
  4. Step 4: Simplify right side
    635.30x = 448,824.40
  5. Step 5: Solve for x
    x = 448,824.40/635.30
  6. Step 6: Final answer
    x = 706.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.