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Finding the Fourth Proportional to 348.96, 523.33 and 328.91

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Solution

The fourth proportional to 348.96, 523.33 and 328.91 is: 493.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.96 : 523.33 = 328.91 : x
  2. Step 2: Convert to fraction form
    348.96/523.33 = 328.91/x
  3. Step 3: Cross multiply
    348.96x = 523.33 × 328.91
  4. Step 4: Simplify right side
    348.96x = 172,127.16
  5. Step 5: Solve for x
    x = 172,127.16/348.96
  6. Step 6: Final answer
    x = 493.26

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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.