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Finding the Fourth Proportional to 617.10, 923.40 and 455.10

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Solution

The fourth proportional to 617.10, 923.40 and 455.10 is: 680.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.10 : 923.40 = 455.10 : x
  2. Step 2: Convert to fraction form
    617.10/923.40 = 455.10/x
  3. Step 3: Cross multiply
    617.10x = 923.40 × 455.10
  4. Step 4: Simplify right side
    617.10x = 420,239.34
  5. Step 5: Solve for x
    x = 420,239.34/617.10
  6. Step 6: Final answer
    x = 680.99

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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.