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Finding the Fourth Proportional to 688.30, 1,032.48 and 341.80

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Solution

The fourth proportional to 688.30, 1,032.48 and 341.80 is: 512.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.30 : 1,032.48 = 341.80 : x
  2. Step 2: Convert to fraction form
    688.30/1,032.48 = 341.80/x
  3. Step 3: Cross multiply
    688.30x = 1,032.48 × 341.80
  4. Step 4: Simplify right side
    688.30x = 352,901.66
  5. Step 5: Solve for x
    x = 352,901.66/688.30
  6. Step 6: Final answer
    x = 512.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.