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Finding the Fourth Proportional to 523.54, 721.86 and 429.94

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Solution

The fourth proportional to 523.54, 721.86 and 429.94 is: 592.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.54 : 721.86 = 429.94 : x
  2. Step 2: Convert to fraction form
    523.54/721.86 = 429.94/x
  3. Step 3: Cross multiply
    523.54x = 721.86 × 429.94
  4. Step 4: Simplify right side
    523.54x = 310,356.49
  5. Step 5: Solve for x
    x = 310,356.49/523.54
  6. Step 6: Final answer
    x = 592.80

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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.