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Finding the Fourth Proportional to 312.07, 430.71 and 233.77

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Solution

The fourth proportional to 312.07, 430.71 and 233.77 is: 322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.07 : 430.71 = 233.77 : x
  2. Step 2: Convert to fraction form
    312.07/430.71 = 233.77/x
  3. Step 3: Cross multiply
    312.07x = 430.71 × 233.77
  4. Step 4: Simplify right side
    312.07x = 100,687.08
  5. Step 5: Solve for x
    x = 100,687.08/312.07
  6. Step 6: Final answer
    x = 322.64

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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.