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Finding the Fourth Proportional to 510.87, 705.12 and 324.21

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Solution

The fourth proportional to 510.87, 705.12 and 324.21 is: 447.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.87 : 705.12 = 324.21 : x
  2. Step 2: Convert to fraction form
    510.87/705.12 = 324.21/x
  3. Step 3: Cross multiply
    510.87x = 705.12 × 324.21
  4. Step 4: Simplify right side
    510.87x = 228,606.96
  5. Step 5: Solve for x
    x = 228,606.96/510.87
  6. Step 6: Final answer
    x = 447.49

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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.