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Finding the Fourth Proportional to 340.02, 509.52 and 209.70

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Solution

The fourth proportional to 340.02, 509.52 and 209.70 is: 314.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.02 : 509.52 = 209.70 : x
  2. Step 2: Convert to fraction form
    340.02/509.52 = 209.70/x
  3. Step 3: Cross multiply
    340.02x = 509.52 × 209.70
  4. Step 4: Simplify right side
    340.02x = 106,846.34
  5. Step 5: Solve for x
    x = 106,846.34/340.02
  6. Step 6: Final answer
    x = 314.24

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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.