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Finding the Fourth Proportional to 923.25, 1,384.97 and 410.25

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Solution

The fourth proportional to 923.25, 1,384.97 and 410.25 is: 615.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.25 : 1,384.97 = 410.25 : x
  2. Step 2: Convert to fraction form
    923.25/1,384.97 = 410.25/x
  3. Step 3: Cross multiply
    923.25x = 1,384.97 × 410.25
  4. Step 4: Simplify right side
    923.25x = 568,181.89
  5. Step 5: Solve for x
    x = 568,181.89/923.25
  6. Step 6: Final answer
    x = 615.41

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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.