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Finding the Fourth Proportional to 379.95, 524.24 and 214.13

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Solution

The fourth proportional to 379.95, 524.24 and 214.13 is: 295.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.95 : 524.24 = 214.13 : x
  2. Step 2: Convert to fraction form
    379.95/524.24 = 214.13/x
  3. Step 3: Cross multiply
    379.95x = 524.24 × 214.13
  4. Step 4: Simplify right side
    379.95x = 112,255.10
  5. Step 5: Solve for x
    x = 112,255.10/379.95
  6. Step 6: Final answer
    x = 295.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.