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Finding the Fourth Proportional to 615.24, 920.70 and 409.50

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Solution

The fourth proportional to 615.24, 920.70 and 409.50 is: 612.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.24 : 920.70 = 409.50 : x
  2. Step 2: Convert to fraction form
    615.24/920.70 = 409.50/x
  3. Step 3: Cross multiply
    615.24x = 920.70 × 409.50
  4. Step 4: Simplify right side
    615.24x = 377,026.65
  5. Step 5: Solve for x
    x = 377,026.65/615.24
  6. Step 6: Final answer
    x = 612.81

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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.