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Finding the Fourth Proportional to 340.98, 509 and 299.98

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Solution

The fourth proportional to 340.98, 509 and 299.98 is: 447.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.98 : 509 = 299.98 : x
  2. Step 2: Convert to fraction form
    340.98/509 = 299.98/x
  3. Step 3: Cross multiply
    340.98x = 509 × 299.98
  4. Step 4: Simplify right side
    340.98x = 152,689.82
  5. Step 5: Solve for x
    x = 152,689.82/340.98
  6. Step 6: Final answer
    x = 447.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.