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Finding the Fourth Proportional to 635.23, 953.54 and 461.98

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Solution

The fourth proportional to 635.23, 953.54 and 461.98 is: 693.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.23 : 953.54 = 461.98 : x
  2. Step 2: Convert to fraction form
    635.23/953.54 = 461.98/x
  3. Step 3: Cross multiply
    635.23x = 953.54 × 461.98
  4. Step 4: Simplify right side
    635.23x = 440,516.41
  5. Step 5: Solve for x
    x = 440,516.41/635.23
  6. Step 6: Final answer
    x = 693.48

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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.