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Finding the Fourth Proportional to 477.14, 715.96 and 233.66

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Solution

The fourth proportional to 477.14, 715.96 and 233.66 is: 350.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.14 : 715.96 = 233.66 : x
  2. Step 2: Convert to fraction form
    477.14/715.96 = 233.66/x
  3. Step 3: Cross multiply
    477.14x = 715.96 × 233.66
  4. Step 4: Simplify right side
    477.14x = 167,291.21
  5. Step 5: Solve for x
    x = 167,291.21/477.14
  6. Step 6: Final answer
    x = 350.61

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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.