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Finding the Fourth Proportional to 388.48, 581.56 and 256.85

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Solution

The fourth proportional to 388.48, 581.56 and 256.85 is: 384.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.48 : 581.56 = 256.85 : x
  2. Step 2: Convert to fraction form
    388.48/581.56 = 256.85/x
  3. Step 3: Cross multiply
    388.48x = 581.56 × 256.85
  4. Step 4: Simplify right side
    388.48x = 149,372.40
  5. Step 5: Solve for x
    x = 149,372.40/388.48
  6. Step 6: Final answer
    x = 384.51

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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.