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Finding the Fourth Proportional to 314.72, 470.64 and 256.40

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Solution

The fourth proportional to 314.72, 470.64 and 256.40 is: 383.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.72 : 470.64 = 256.40 : x
  2. Step 2: Convert to fraction form
    314.72/470.64 = 256.40/x
  3. Step 3: Cross multiply
    314.72x = 470.64 × 256.40
  4. Step 4: Simplify right side
    314.72x = 120,672.10
  5. Step 5: Solve for x
    x = 120,672.10/314.72
  6. Step 6: Final answer
    x = 383.43

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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.