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Finding the Fourth Proportional to 314.46, 470.73 and 233.10

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Solution

The fourth proportional to 314.46, 470.73 and 233.10 is: 348.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.46 : 470.73 = 233.10 : x
  2. Step 2: Convert to fraction form
    314.46/470.73 = 233.10/x
  3. Step 3: Cross multiply
    314.46x = 470.73 × 233.10
  4. Step 4: Simplify right side
    314.46x = 109,727.16
  5. Step 5: Solve for x
    x = 109,727.16/314.46
  6. Step 6: Final answer
    x = 348.94

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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.