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Finding the Fourth Proportional to 567.92, 850.51 and 384.76

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Solution

The fourth proportional to 567.92, 850.51 and 384.76 is: 576.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.92 : 850.51 = 384.76 : x
  2. Step 2: Convert to fraction form
    567.92/850.51 = 384.76/x
  3. Step 3: Cross multiply
    567.92x = 850.51 × 384.76
  4. Step 4: Simplify right side
    567.92x = 327,238.91
  5. Step 5: Solve for x
    x = 327,238.91/567.92
  6. Step 6: Final answer
    x = 576.21

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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.