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Finding the Fourth Proportional to 411.06, 616.32 and 314.67

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Solution

The fourth proportional to 411.06, 616.32 and 314.67 is: 471.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.06 : 616.32 = 314.67 : x
  2. Step 2: Convert to fraction form
    411.06/616.32 = 314.67/x
  3. Step 3: Cross multiply
    411.06x = 616.32 × 314.67
  4. Step 4: Simplify right side
    411.06x = 193,937.41
  5. Step 5: Solve for x
    x = 193,937.41/411.06
  6. Step 6: Final answer
    x = 471.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.