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Finding the Fourth Proportional to 423.09, 633.42 and 314.55

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Solution

The fourth proportional to 423.09, 633.42 and 314.55 is: 470.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.09 : 633.42 = 314.55 : x
  2. Step 2: Convert to fraction form
    423.09/633.42 = 314.55/x
  3. Step 3: Cross multiply
    423.09x = 633.42 × 314.55
  4. Step 4: Simplify right side
    423.09x = 199,242.26
  5. Step 5: Solve for x
    x = 199,242.26/423.09
  6. Step 6: Final answer
    x = 470.92

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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.