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Finding the Fourth Proportional to 315.20, 471.77 and 256.94

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Solution

The fourth proportional to 315.20, 471.77 and 256.94 is: 384.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.20 : 471.77 = 256.94 : x
  2. Step 2: Convert to fraction form
    315.20/471.77 = 256.94/x
  3. Step 3: Cross multiply
    315.20x = 471.77 × 256.94
  4. Step 4: Simplify right side
    315.20x = 121,212.94
  5. Step 5: Solve for x
    x = 121,212.94/315.20
  6. Step 6: Final answer
    x = 384.56

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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.