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Finding the Fourth Proportional to 495.47, 683.84 and 309.04

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Solution

The fourth proportional to 495.47, 683.84 and 309.04 is: 426.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.47 : 683.84 = 309.04 : x
  2. Step 2: Convert to fraction form
    495.47/683.84 = 309.04/x
  3. Step 3: Cross multiply
    495.47x = 683.84 × 309.04
  4. Step 4: Simplify right side
    495.47x = 211,333.91
  5. Step 5: Solve for x
    x = 211,333.91/495.47
  6. Step 6: Final answer
    x = 426.53

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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.