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Finding the Fourth Proportional to 617.62, 852.09 and 407.90

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Solution

The fourth proportional to 617.62, 852.09 and 407.90 is: 562.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.62 : 852.09 = 407.90 : x
  2. Step 2: Convert to fraction form
    617.62/852.09 = 407.90/x
  3. Step 3: Cross multiply
    617.62x = 852.09 × 407.90
  4. Step 4: Simplify right side
    617.62x = 347,567.51
  5. Step 5: Solve for x
    x = 347,567.51/617.62
  6. Step 6: Final answer
    x = 562.75

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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.