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Finding the Fourth Proportional to 340.67, 469.67 and 320.63

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Solution

The fourth proportional to 340.67, 469.67 and 320.63 is: 442.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.67 : 469.67 = 320.63 : x
  2. Step 2: Convert to fraction form
    340.67/469.67 = 320.63/x
  3. Step 3: Cross multiply
    340.67x = 469.67 × 320.63
  4. Step 4: Simplify right side
    340.67x = 150,586.34
  5. Step 5: Solve for x
    x = 150,586.34/340.67
  6. Step 6: Final answer
    x = 442.03

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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.