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Finding the Fourth Proportional to 495.75, 683.85 and 309.15

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Solution

The fourth proportional to 495.75, 683.85 and 309.15 is: 426.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.75 : 683.85 = 309.15 : x
  2. Step 2: Convert to fraction form
    495.75/683.85 = 309.15/x
  3. Step 3: Cross multiply
    495.75x = 683.85 × 309.15
  4. Step 4: Simplify right side
    495.75x = 211,412.23
  5. Step 5: Solve for x
    x = 211,412.23/495.75
  6. Step 6: Final answer
    x = 426.45

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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.