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Finding the Fourth Proportional to 522.27, 720.77 and 434.79

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Solution

The fourth proportional to 522.27, 720.77 and 434.79 is: 600.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.27 : 720.77 = 434.79 : x
  2. Step 2: Convert to fraction form
    522.27/720.77 = 434.79/x
  3. Step 3: Cross multiply
    522.27x = 720.77 × 434.79
  4. Step 4: Simplify right side
    522.27x = 313,381.41
  5. Step 5: Solve for x
    x = 313,381.41/522.27
  6. Step 6: Final answer
    x = 600.04

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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.