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Finding the Fourth Proportional to 370.40, 511.08 and 213.02

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Solution

The fourth proportional to 370.40, 511.08 and 213.02 is: 293.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.40 : 511.08 = 213.02 : x
  2. Step 2: Convert to fraction form
    370.40/511.08 = 213.02/x
  3. Step 3: Cross multiply
    370.40x = 511.08 × 213.02
  4. Step 4: Simplify right side
    370.40x = 108,870.26
  5. Step 5: Solve for x
    x = 108,870.26/370.40
  6. Step 6: Final answer
    x = 293.93

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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.