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Finding the Fourth Proportional to 633.16, 949.74 and 523.72

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Solution

The fourth proportional to 633.16, 949.74 and 523.72 is: 785.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.16 : 949.74 = 523.72 : x
  2. Step 2: Convert to fraction form
    633.16/949.74 = 523.72/x
  3. Step 3: Cross multiply
    633.16x = 949.74 × 523.72
  4. Step 4: Simplify right side
    633.16x = 497,397.83
  5. Step 5: Solve for x
    x = 497,397.83/633.16
  6. Step 6: Final answer
    x = 785.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.