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Finding the Fourth Proportional to 314.51, 470.76 and 256.23

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Solution

The fourth proportional to 314.51, 470.76 and 256.23 is: 383.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.51 : 470.76 = 256.23 : x
  2. Step 2: Convert to fraction form
    314.51/470.76 = 256.23/x
  3. Step 3: Cross multiply
    314.51x = 470.76 × 256.23
  4. Step 4: Simplify right side
    314.51x = 120,622.83
  5. Step 5: Solve for x
    x = 120,622.83/314.51
  6. Step 6: Final answer
    x = 383.53

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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.