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Finding the Fourth Proportional to 370.40, 511.14 and 213.08

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Solution

The fourth proportional to 370.40, 511.14 and 213.08 is: 294.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.40 : 511.14 = 213.08 : x
  2. Step 2: Convert to fraction form
    370.40/511.14 = 213.08/x
  3. Step 3: Cross multiply
    370.40x = 511.14 × 213.08
  4. Step 4: Simplify right side
    370.40x = 108,915.79
  5. Step 5: Solve for x
    x = 108,915.79/370.40
  6. Step 6: Final answer
    x = 294.05

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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.