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Finding the Fourth Proportional to 475.10, 655.40 and 409.49

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Solution

The fourth proportional to 475.10, 655.40 and 409.49 is: 564.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.10 : 655.40 = 409.49 : x
  2. Step 2: Convert to fraction form
    475.10/655.40 = 409.49/x
  3. Step 3: Cross multiply
    475.10x = 655.40 × 409.49
  4. Step 4: Simplify right side
    475.10x = 268,379.75
  5. Step 5: Solve for x
    x = 268,379.75/475.10
  6. Step 6: Final answer
    x = 564.89

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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.