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Finding the Fourth Proportional to 617.60, 851.90 and 384.50

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Solution

The fourth proportional to 617.60, 851.90 and 384.50 is: 530.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.60 : 851.90 = 384.50 : x
  2. Step 2: Convert to fraction form
    617.60/851.90 = 384.50/x
  3. Step 3: Cross multiply
    617.60x = 851.90 × 384.50
  4. Step 4: Simplify right side
    617.60x = 327,555.55
  5. Step 5: Solve for x
    x = 327,555.55/617.60
  6. Step 6: Final answer
    x = 530.37

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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.