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Finding the Fourth Proportional to 617.28, 851.64 and 407.58

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Solution

The fourth proportional to 617.28, 851.64 and 407.58 is: 562.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.28 : 851.64 = 407.58 : x
  2. Step 2: Convert to fraction form
    617.28/851.64 = 407.58/x
  3. Step 3: Cross multiply
    617.28x = 851.64 × 407.58
  4. Step 4: Simplify right side
    617.28x = 347,111.43
  5. Step 5: Solve for x
    x = 347,111.43/617.28
  6. Step 6: Final answer
    x = 562.32

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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.