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Finding the Fourth Proportional to 634.83, 875.71 and 402.09

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Solution

The fourth proportional to 634.83, 875.71 and 402.09 is: 554.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.83 : 875.71 = 402.09 : x
  2. Step 2: Convert to fraction form
    634.83/875.71 = 402.09/x
  3. Step 3: Cross multiply
    634.83x = 875.71 × 402.09
  4. Step 4: Simplify right side
    634.83x = 352,114.23
  5. Step 5: Solve for x
    x = 352,114.23/634.83
  6. Step 6: Final answer
    x = 554.66

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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.