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Finding the Fourth Proportional to 340.89, 511.62 and 328.93

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Solution

The fourth proportional to 340.89, 511.62 and 328.93 is: 493.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.89 : 511.62 = 328.93 : x
  2. Step 2: Convert to fraction form
    340.89/511.62 = 328.93/x
  3. Step 3: Cross multiply
    340.89x = 511.62 × 328.93
  4. Step 4: Simplify right side
    340.89x = 168,287.17
  5. Step 5: Solve for x
    x = 168,287.17/340.89
  6. Step 6: Final answer
    x = 493.67

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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.