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Finding the Fourth Proportional to 640.53, 883.62 and 419.27

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Solution

The fourth proportional to 640.53, 883.62 and 419.27 is: 578.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.53 : 883.62 = 419.27 : x
  2. Step 2: Convert to fraction form
    640.53/883.62 = 419.27/x
  3. Step 3: Cross multiply
    640.53x = 883.62 × 419.27
  4. Step 4: Simplify right side
    640.53x = 370,470.94
  5. Step 5: Solve for x
    x = 370,470.94/640.53
  6. Step 6: Final answer
    x = 578.38

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1.5x scale

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.