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Finding the Fourth Proportional to 477.29, 715.89 and 230.42

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Solution

The fourth proportional to 477.29, 715.89 and 230.42 is: 345.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.29 : 715.89 = 230.42 : x
  2. Step 2: Convert to fraction form
    477.29/715.89 = 230.42/x
  3. Step 3: Cross multiply
    477.29x = 715.89 × 230.42
  4. Step 4: Simplify right side
    477.29x = 164,954.72
  5. Step 5: Solve for x
    x = 164,954.72/477.29
  6. Step 6: Final answer
    x = 345.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.