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Finding the Fourth Proportional to 617.09, 851.38 and 384.20

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Solution

The fourth proportional to 617.09, 851.38 and 384.20 is: 530.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.09 : 851.38 = 384.20 : x
  2. Step 2: Convert to fraction form
    617.09/851.38 = 384.20/x
  3. Step 3: Cross multiply
    617.09x = 851.38 × 384.20
  4. Step 4: Simplify right side
    617.09x = 327,101.36
  5. Step 5: Solve for x
    x = 327,101.36/617.09
  6. Step 6: Final answer
    x = 530.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.