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Finding the Fourth Proportional to 370.93, 511.75 and 230.93

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Solution

The fourth proportional to 370.93, 511.75 and 230.93 is: 318.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.93 : 511.75 = 230.93 : x
  2. Step 2: Convert to fraction form
    370.93/511.75 = 230.93/x
  3. Step 3: Cross multiply
    370.93x = 511.75 × 230.93
  4. Step 4: Simplify right side
    370.93x = 118,179.31
  5. Step 5: Solve for x
    x = 118,179.31/370.93
  6. Step 6: Final answer
    x = 318.60

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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.