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Finding the Fourth Proportional to 617.72, 852.60 and 407.94

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Solution

The fourth proportional to 617.72, 852.60 and 407.94 is: 563.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.72 : 852.60 = 407.94 : x
  2. Step 2: Convert to fraction form
    617.72/852.60 = 407.94/x
  3. Step 3: Cross multiply
    617.72x = 852.60 × 407.94
  4. Step 4: Simplify right side
    617.72x = 347,809.64
  5. Step 5: Solve for x
    x = 347,809.64/617.72
  6. Step 6: Final answer
    x = 563.05

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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.