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Finding the Fourth Proportional to 635.96, 877.90 and 429.24

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Solution

The fourth proportional to 635.96, 877.90 and 429.24 is: 592.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.96 : 877.90 = 429.24 : x
  2. Step 2: Convert to fraction form
    635.96/877.90 = 429.24/x
  3. Step 3: Cross multiply
    635.96x = 877.90 × 429.24
  4. Step 4: Simplify right side
    635.96x = 376,829.80
  5. Step 5: Solve for x
    x = 376,829.80/635.96
  6. Step 6: Final answer
    x = 592.54

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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.