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Finding the Fourth Proportional to 370.77, 511.59 and 230.77

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Solution

The fourth proportional to 370.77, 511.59 and 230.77 is: 318.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.77 : 511.59 = 230.77 : x
  2. Step 2: Convert to fraction form
    370.77/511.59 = 230.77/x
  3. Step 3: Cross multiply
    370.77x = 511.59 × 230.77
  4. Step 4: Simplify right side
    370.77x = 118,059.62
  5. Step 5: Solve for x
    x = 118,059.62/370.77
  6. Step 6: Final answer
    x = 318.42

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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.