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Finding the Fourth Proportional to 475.15, 653.38 and 412.87

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Solution

The fourth proportional to 475.15, 653.38 and 412.87 is: 567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.15 : 653.38 = 412.87 : x
  2. Step 2: Convert to fraction form
    475.15/653.38 = 412.87/x
  3. Step 3: Cross multiply
    475.15x = 653.38 × 412.87
  4. Step 4: Simplify right side
    475.15x = 269,755.67
  5. Step 5: Solve for x
    x = 269,755.67/475.15
  6. Step 6: Final answer
    x = 567.73

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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.