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Finding the Fourth Proportional to 633.16, 874.16 and 485.52

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Solution

The fourth proportional to 633.16, 874.16 and 485.52 is: 670.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.16 : 874.16 = 485.52 : x
  2. Step 2: Convert to fraction form
    633.16/874.16 = 485.52/x
  3. Step 3: Cross multiply
    633.16x = 874.16 × 485.52
  4. Step 4: Simplify right side
    633.16x = 424,422.16
  5. Step 5: Solve for x
    x = 424,422.16/633.16
  6. Step 6: Final answer
    x = 670.32

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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.