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Finding the Fourth Proportional to 506.85, 698.61 and 340.98

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Solution

The fourth proportional to 506.85, 698.61 and 340.98 is: 469.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.85 : 698.61 = 340.98 : x
  2. Step 2: Convert to fraction form
    506.85/698.61 = 340.98/x
  3. Step 3: Cross multiply
    506.85x = 698.61 × 340.98
  4. Step 4: Simplify right side
    506.85x = 238,212.04
  5. Step 5: Solve for x
    x = 238,212.04/506.85
  6. Step 6: Final answer
    x = 469.99

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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.