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Finding the Fourth Proportional to 633.93, 874.83 and 354.16

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Solution

The fourth proportional to 633.93, 874.83 and 354.16 is: 488.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.93 : 874.83 = 354.16 : x
  2. Step 2: Convert to fraction form
    633.93/874.83 = 354.16/x
  3. Step 3: Cross multiply
    633.93x = 874.83 × 354.16
  4. Step 4: Simplify right side
    633.93x = 309,829.79
  5. Step 5: Solve for x
    x = 309,829.79/633.93
  6. Step 6: Final answer
    x = 488.74

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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.