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Finding the Fourth Proportional to 640, 882.82 and 419.04

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Solution

The fourth proportional to 640, 882.82 and 419.04 is: 578.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    640 : 882.82 = 419.04 : x
  2. Step 2: Convert to fraction form
    640/882.82 = 419.04/x
  3. Step 3: Cross multiply
    640x = 882.82 × 419.04
  4. Step 4: Simplify right side
    640x = 369,936.89
  5. Step 5: Solve for x
    x = 369,936.89/640
  6. Step 6: Final answer
    x = 578.03

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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.