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Finding the Fourth Proportional to 475.84, 656.06 and 363.94

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Solution

The fourth proportional to 475.84, 656.06 and 363.94 is: 501.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.84 : 656.06 = 363.94 : x
  2. Step 2: Convert to fraction form
    475.84/656.06 = 363.94/x
  3. Step 3: Cross multiply
    475.84x = 656.06 × 363.94
  4. Step 4: Simplify right side
    475.84x = 238,767.21
  5. Step 5: Solve for x
    x = 238,767.21/475.84
  6. Step 6: Final answer
    x = 501.78

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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.