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Finding the Fourth Proportional to 411.86, 615.07 and 366.50

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Solution

The fourth proportional to 411.86, 615.07 and 366.50 is: 547.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.86 : 615.07 = 366.50 : x
  2. Step 2: Convert to fraction form
    411.86/615.07 = 366.50/x
  3. Step 3: Cross multiply
    411.86x = 615.07 × 366.50
  4. Step 4: Simplify right side
    411.86x = 225,423.16
  5. Step 5: Solve for x
    x = 225,423.16/411.86
  6. Step 6: Final answer
    x = 547.33

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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.