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Finding the Fourth Proportional to 495.47, 683.35 and 308.81

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Solution

The fourth proportional to 495.47, 683.35 and 308.81 is: 425.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.47 : 683.35 = 308.81 : x
  2. Step 2: Convert to fraction form
    495.47/683.35 = 308.81/x
  3. Step 3: Cross multiply
    495.47x = 683.35 × 308.81
  4. Step 4: Simplify right side
    495.47x = 211,026.25
  5. Step 5: Solve for x
    x = 211,026.25/495.47
  6. Step 6: Final answer
    x = 425.91

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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.