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Finding the Fourth Proportional to 385.68, 578.16 and 214.32

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Solution

The fourth proportional to 385.68, 578.16 and 214.32 is: 321.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.68 : 578.16 = 214.32 : x
  2. Step 2: Convert to fraction form
    385.68/578.16 = 214.32/x
  3. Step 3: Cross multiply
    385.68x = 578.16 × 214.32
  4. Step 4: Simplify right side
    385.68x = 123,911.25
  5. Step 5: Solve for x
    x = 123,911.25/385.68
  6. Step 6: Final answer
    x = 321.28

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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.