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Finding the Fourth Proportional to 409.22, 612.44 and 340.86

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Solution

The fourth proportional to 409.22, 612.44 and 340.86 is: 510.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.22 : 612.44 = 340.86 : x
  2. Step 2: Convert to fraction form
    409.22/612.44 = 340.86/x
  3. Step 3: Cross multiply
    409.22x = 612.44 × 340.86
  4. Step 4: Simplify right side
    409.22x = 208,756.30
  5. Step 5: Solve for x
    x = 208,756.30/409.22
  6. Step 6: Final answer
    x = 510.13

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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.