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Finding the Fourth Proportional to 640.40, 883.44 and 407.60

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Solution

The fourth proportional to 640.40, 883.44 and 407.60 is: 562.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.40 : 883.44 = 407.60 : x
  2. Step 2: Convert to fraction form
    640.40/883.44 = 407.60/x
  3. Step 3: Cross multiply
    640.40x = 883.44 × 407.60
  4. Step 4: Simplify right side
    640.40x = 360,090.14
  5. Step 5: Solve for x
    x = 360,090.14/640.40
  6. Step 6: Final answer
    x = 562.29

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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.