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Finding the Fourth Proportional to 495.45, 683.76 and 318.57

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Solution

The fourth proportional to 495.45, 683.76 and 318.57 is: 439.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.45 : 683.76 = 318.57 : x
  2. Step 2: Convert to fraction form
    495.45/683.76 = 318.57/x
  3. Step 3: Cross multiply
    495.45x = 683.76 × 318.57
  4. Step 4: Simplify right side
    495.45x = 217,825.42
  5. Step 5: Solve for x
    x = 217,825.42/495.45
  6. Step 6: Final answer
    x = 439.65

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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.