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Finding the Fourth Proportional to 475.08, 655.47 and 459.42

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Solution

The fourth proportional to 475.08, 655.47 and 459.42 is: 633.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.08 : 655.47 = 459.42 : x
  2. Step 2: Convert to fraction form
    475.08/655.47 = 459.42/x
  3. Step 3: Cross multiply
    475.08x = 655.47 × 459.42
  4. Step 4: Simplify right side
    475.08x = 301,136.03
  5. Step 5: Solve for x
    x = 301,136.03/475.08
  6. Step 6: Final answer
    x = 633.86

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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.