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Finding the Fourth Proportional to 495.09, 683.16 and 285.23

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Solution

The fourth proportional to 495.09, 683.16 and 285.23 is: 393.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.09 : 683.16 = 285.23 : x
  2. Step 2: Convert to fraction form
    495.09/683.16 = 285.23/x
  3. Step 3: Cross multiply
    495.09x = 683.16 × 285.23
  4. Step 4: Simplify right side
    495.09x = 194,854.31
  5. Step 5: Solve for x
    x = 194,854.31/495.09
  6. Step 6: Final answer
    x = 393.57

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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.