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Finding the Fourth Proportional to 495.16, 683.16 and 308.64

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Solution

The fourth proportional to 495.16, 683.16 and 308.64 is: 425.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.16 : 683.16 = 308.64 : x
  2. Step 2: Convert to fraction form
    495.16/683.16 = 308.64/x
  3. Step 3: Cross multiply
    495.16x = 683.16 × 308.64
  4. Step 4: Simplify right side
    495.16x = 210,850.50
  5. Step 5: Solve for x
    x = 210,850.50/495.16
  6. Step 6: Final answer
    x = 425.82

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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.