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Finding the Fourth Proportional to 471.76, 650.98 and 285.28

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Solution

The fourth proportional to 471.76, 650.98 and 285.28 is: 393.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.76 : 650.98 = 285.28 : x
  2. Step 2: Convert to fraction form
    471.76/650.98 = 285.28/x
  3. Step 3: Cross multiply
    471.76x = 650.98 × 285.28
  4. Step 4: Simplify right side
    471.76x = 185,711.57
  5. Step 5: Solve for x
    x = 185,711.57/471.76
  6. Step 6: Final answer
    x = 393.66

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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.