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Finding the Fourth Proportional to 340.32, 509.90 and 224.70

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Solution

The fourth proportional to 340.32, 509.90 and 224.70 is: 336.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.32 : 509.90 = 224.70 : x
  2. Step 2: Convert to fraction form
    340.32/509.90 = 224.70/x
  3. Step 3: Cross multiply
    340.32x = 509.90 × 224.70
  4. Step 4: Simplify right side
    340.32x = 114,574.53
  5. Step 5: Solve for x
    x = 114,574.53/340.32
  6. Step 6: Final answer
    x = 336.67

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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.