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Finding the Fourth Proportional to 314.37, 470.64 and 233.57

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Solution

The fourth proportional to 314.37, 470.64 and 233.57 is: 349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.37 : 470.64 = 233.57 : x
  2. Step 2: Convert to fraction form
    314.37/470.64 = 233.57/x
  3. Step 3: Cross multiply
    314.37x = 470.64 × 233.57
  4. Step 4: Simplify right side
    314.37x = 109,927.38
  5. Step 5: Solve for x
    x = 109,927.38/314.37
  6. Step 6: Final answer
    x = 349.68

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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.