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Finding the Fourth Proportional to 370.61, 511.67 and 230.81

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Solution

The fourth proportional to 370.61, 511.67 and 230.81 is: 318.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.61 : 511.67 = 230.81 : x
  2. Step 2: Convert to fraction form
    370.61/511.67 = 230.81/x
  3. Step 3: Cross multiply
    370.61x = 511.67 × 230.81
  4. Step 4: Simplify right side
    370.61x = 118,097.40
  5. Step 5: Solve for x
    x = 118,097.40/370.61
  6. Step 6: Final answer
    x = 318.66

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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.