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Finding the Fourth Proportional to 635.83, 877.39 and 356.02

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Solution

The fourth proportional to 635.83, 877.39 and 356.02 is: 491.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.83 : 877.39 = 356.02 : x
  2. Step 2: Convert to fraction form
    635.83/877.39 = 356.02/x
  3. Step 3: Cross multiply
    635.83x = 877.39 × 356.02
  4. Step 4: Simplify right side
    635.83x = 312,368.39
  5. Step 5: Solve for x
    x = 312,368.39/635.83
  6. Step 6: Final answer
    x = 491.28

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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.