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Finding the Fourth Proportional to 471.78, 651 and 275.28

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Solution

The fourth proportional to 471.78, 651 and 275.28 is: 379.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.78 : 651 = 275.28 : x
  2. Step 2: Convert to fraction form
    471.78/651 = 275.28/x
  3. Step 3: Cross multiply
    471.78x = 651 × 275.28
  4. Step 4: Simplify right side
    471.78x = 179,207.28
  5. Step 5: Solve for x
    x = 179,207.28/471.78
  6. Step 6: Final answer
    x = 379.85

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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.