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Finding the Fourth Proportional to 340.21, 507.04 and 339.67

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Solution

The fourth proportional to 340.21, 507.04 and 339.67 is: 506.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.21 : 507.04 = 339.67 : x
  2. Step 2: Convert to fraction form
    340.21/507.04 = 339.67/x
  3. Step 3: Cross multiply
    340.21x = 507.04 × 339.67
  4. Step 4: Simplify right side
    340.21x = 172,227.13
  5. Step 5: Solve for x
    x = 172,227.13/340.21
  6. Step 6: Final answer
    x = 506.24

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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.