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Finding the Fourth Proportional to 409.86, 614.16 and 312.21

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Solution

The fourth proportional to 409.86, 614.16 and 312.21 is: 467.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.86 : 614.16 = 312.21 : x
  2. Step 2: Convert to fraction form
    409.86/614.16 = 312.21/x
  3. Step 3: Cross multiply
    409.86x = 614.16 × 312.21
  4. Step 4: Simplify right side
    409.86x = 191,746.89
  5. Step 5: Solve for x
    x = 191,746.89/409.86
  6. Step 6: Final answer
    x = 467.84

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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.