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Finding the Fourth Proportional to 385.66, 578.60 and 262.76

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Solution

The fourth proportional to 385.66, 578.60 and 262.76 is: 394.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.66 : 578.60 = 262.76 : x
  2. Step 2: Convert to fraction form
    385.66/578.60 = 262.76/x
  3. Step 3: Cross multiply
    385.66x = 578.60 × 262.76
  4. Step 4: Simplify right side
    385.66x = 152,032.94
  5. Step 5: Solve for x
    x = 152,032.94/385.66
  6. Step 6: Final answer
    x = 394.21

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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.