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Finding the Fourth Proportional to 313.54, 470.53 and 256.43

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Solution

The fourth proportional to 313.54, 470.53 and 256.43 is: 384.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.54 : 470.53 = 256.43 : x
  2. Step 2: Convert to fraction form
    313.54/470.53 = 256.43/x
  3. Step 3: Cross multiply
    313.54x = 470.53 × 256.43
  4. Step 4: Simplify right side
    313.54x = 120,658.01
  5. Step 5: Solve for x
    x = 120,658.01/313.54
  6. Step 6: Final answer
    x = 384.82

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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.