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Finding the Fourth Proportional to 640.04, 883.26 and 419.37

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Solution

The fourth proportional to 640.04, 883.26 and 419.37 is: 578.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.04 : 883.26 = 419.37 : x
  2. Step 2: Convert to fraction form
    640.04/883.26 = 419.37/x
  3. Step 3: Cross multiply
    640.04x = 883.26 × 419.37
  4. Step 4: Simplify right side
    640.04x = 370,412.75
  5. Step 5: Solve for x
    x = 370,412.75/640.04
  6. Step 6: Final answer
    x = 578.74

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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.