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Finding the Fourth Proportional to 524.91, 724.04 and 314.94

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Solution

The fourth proportional to 524.91, 724.04 and 314.94 is: 434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.91 : 724.04 = 314.94 : x
  2. Step 2: Convert to fraction form
    524.91/724.04 = 314.94/x
  3. Step 3: Cross multiply
    524.91x = 724.04 × 314.94
  4. Step 4: Simplify right side
    524.91x = 228,027.41
  5. Step 5: Solve for x
    x = 228,027.41/524.91
  6. Step 6: Final answer
    x = 434.42

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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.