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Finding the Fourth Proportional to 370.70, 511.70 and 230.84

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Solution

The fourth proportional to 370.70, 511.70 and 230.84 is: 318.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.70 : 511.70 = 230.84 : x
  2. Step 2: Convert to fraction form
    370.70/511.70 = 230.84/x
  3. Step 3: Cross multiply
    370.70x = 511.70 × 230.84
  4. Step 4: Simplify right side
    370.70x = 118,120.83
  5. Step 5: Solve for x
    x = 118,120.83/370.70
  6. Step 6: Final answer
    x = 318.64

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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.