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Finding the Fourth Proportional to 463.46, 694.59 and 346.99

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Solution

The fourth proportional to 463.46, 694.59 and 346.99 is: 520.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.46 : 694.59 = 346.99 : x
  2. Step 2: Convert to fraction form
    463.46/694.59 = 346.99/x
  3. Step 3: Cross multiply
    463.46x = 694.59 × 346.99
  4. Step 4: Simplify right side
    463.46x = 241,013.56
  5. Step 5: Solve for x
    x = 241,013.56/463.46
  6. Step 6: Final answer
    x = 520.03

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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.