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Finding the Fourth Proportional to 633.82, 874.65 and 354.06

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Solution

The fourth proportional to 633.82, 874.65 and 354.06 is: 488.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.82 : 874.65 = 354.06 : x
  2. Step 2: Convert to fraction form
    633.82/874.65 = 354.06/x
  3. Step 3: Cross multiply
    633.82x = 874.65 × 354.06
  4. Step 4: Simplify right side
    633.82x = 309,678.58
  5. Step 5: Solve for x
    x = 309,678.58/633.82
  6. Step 6: Final answer
    x = 488.59

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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.