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Finding the Fourth Proportional to 409.86, 612.09 and 364.50

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Solution

The fourth proportional to 409.86, 612.09 and 364.50 is: 544.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.86 : 612.09 = 364.50 : x
  2. Step 2: Convert to fraction form
    409.86/612.09 = 364.50/x
  3. Step 3: Cross multiply
    409.86x = 612.09 × 364.50
  4. Step 4: Simplify right side
    409.86x = 223,106.81
  5. Step 5: Solve for x
    x = 223,106.81/409.86
  6. Step 6: Final answer
    x = 544.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.