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Finding the Fourth Proportional to 314.54, 470.97 and 256.46

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Solution

The fourth proportional to 314.54, 470.97 and 256.46 is: 384.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.54 : 470.97 = 256.46 : x
  2. Step 2: Convert to fraction form
    314.54/470.97 = 256.46/x
  3. Step 3: Cross multiply
    314.54x = 470.97 × 256.46
  4. Step 4: Simplify right side
    314.54x = 120,784.97
  5. Step 5: Solve for x
    x = 120,784.97/314.54
  6. Step 6: Final answer
    x = 384.01

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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.