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Finding the Fourth Proportional to 381.76, 572.32 and 313.12

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Solution

The fourth proportional to 381.76, 572.32 and 313.12 is: 469.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.76 : 572.32 = 313.12 : x
  2. Step 2: Convert to fraction form
    381.76/572.32 = 313.12/x
  3. Step 3: Cross multiply
    381.76x = 572.32 × 313.12
  4. Step 4: Simplify right side
    381.76x = 179,204.84
  5. Step 5: Solve for x
    x = 179,204.84/381.76
  6. Step 6: Final answer
    x = 469.42

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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.