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Finding the Fourth Proportional to 506.90, 699.27 and 341.12

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Solution

The fourth proportional to 506.90, 699.27 and 341.12 is: 470.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.90 : 699.27 = 341.12 : x
  2. Step 2: Convert to fraction form
    506.90/699.27 = 341.12/x
  3. Step 3: Cross multiply
    506.90x = 699.27 × 341.12
  4. Step 4: Simplify right side
    506.90x = 238,534.98
  5. Step 5: Solve for x
    x = 238,534.98/506.90
  6. Step 6: Final answer
    x = 470.58

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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.