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Finding the Fourth Proportional to 923, 1,384.56 and 410

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Solution

The fourth proportional to 923, 1,384.56 and 410 is: 615.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    923 : 1,384.56 = 410 : x
  2. Step 2: Convert to fraction form
    923/1,384.56 = 410/x
  3. Step 3: Cross multiply
    923x = 1,384.56 × 410
  4. Step 4: Simplify right side
    923x = 567,669.60
  5. Step 5: Solve for x
    x = 567,669.60/923
  6. Step 6: Final answer
    x = 615.03

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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.