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Finding the Fourth Proportional to 475.51, 712.29 and 387.97

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Solution

The fourth proportional to 475.51, 712.29 and 387.97 is: 581.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.51 : 712.29 = 387.97 : x
  2. Step 2: Convert to fraction form
    475.51/712.29 = 387.97/x
  3. Step 3: Cross multiply
    475.51x = 712.29 × 387.97
  4. Step 4: Simplify right side
    475.51x = 276,349.50
  5. Step 5: Solve for x
    x = 276,349.50/475.51
  6. Step 6: Final answer
    x = 581.17

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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.