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Finding the Fourth Proportional to 522.96, 721.67 and 302.04

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Solution

The fourth proportional to 522.96, 721.67 and 302.04 is: 416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.96 : 721.67 = 302.04 : x
  2. Step 2: Convert to fraction form
    522.96/721.67 = 302.04/x
  3. Step 3: Cross multiply
    522.96x = 721.67 × 302.04
  4. Step 4: Simplify right side
    522.96x = 217,969.60
  5. Step 5: Solve for x
    x = 217,969.60/522.96
  6. Step 6: Final answer
    x = 416.80

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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.