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Finding the Fourth Proportional to 615.66, 923.94 and 410.16

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Solution

The fourth proportional to 615.66, 923.94 and 410.16 is: 615.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.66 : 923.94 = 410.16 : x
  2. Step 2: Convert to fraction form
    615.66/923.94 = 410.16/x
  3. Step 3: Cross multiply
    615.66x = 923.94 × 410.16
  4. Step 4: Simplify right side
    615.66x = 378,963.23
  5. Step 5: Solve for x
    x = 378,963.23/615.66
  6. Step 6: Final answer
    x = 615.54

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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.