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Finding the Fourth Proportional to 384.55, 579.25 and 379.76

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Solution

The fourth proportional to 384.55, 579.25 and 379.76 is: 572.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.55 : 579.25 = 379.76 : x
  2. Step 2: Convert to fraction form
    384.55/579.25 = 379.76/x
  3. Step 3: Cross multiply
    384.55x = 579.25 × 379.76
  4. Step 4: Simplify right side
    384.55x = 219,973.56
  5. Step 5: Solve for x
    x = 219,973.56/384.55
  6. Step 6: Final answer
    x = 572.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.