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Finding the Fourth Proportional to 370.64, 511.33 and 213.24

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Solution

The fourth proportional to 370.64, 511.33 and 213.24 is: 294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.64 : 511.33 = 213.24 : x
  2. Step 2: Convert to fraction form
    370.64/511.33 = 213.24/x
  3. Step 3: Cross multiply
    370.64x = 511.33 × 213.24
  4. Step 4: Simplify right side
    370.64x = 109,034.38
  5. Step 5: Solve for x
    x = 109,034.38/370.64
  6. Step 6: Final answer
    x = 294.17

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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.