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Finding the Fourth Proportional to 495.72, 683.82 and 460.52

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Solution

The fourth proportional to 495.72, 683.82 and 460.52 is: 635.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.72 : 683.82 = 460.52 : x
  2. Step 2: Convert to fraction form
    495.72/683.82 = 460.52/x
  3. Step 3: Cross multiply
    495.72x = 683.82 × 460.52
  4. Step 4: Simplify right side
    495.72x = 314,913.52
  5. Step 5: Solve for x
    x = 314,913.52/495.72
  6. Step 6: Final answer
    x = 635.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.