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Finding the Fourth Proportional to 495.86, 683.93 and 348.23

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Solution

The fourth proportional to 495.86, 683.93 and 348.23 is: 480.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.86 : 683.93 = 348.23 : x
  2. Step 2: Convert to fraction form
    495.86/683.93 = 348.23/x
  3. Step 3: Cross multiply
    495.86x = 683.93 × 348.23
  4. Step 4: Simplify right side
    495.86x = 238,167.52
  5. Step 5: Solve for x
    x = 238,167.52/495.86
  6. Step 6: Final answer
    x = 480.32

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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.