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Finding the Fourth Proportional to 640.59, 883.20 and 419.19

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Solution

The fourth proportional to 640.59, 883.20 and 419.19 is: 577.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.59 : 883.20 = 419.19 : x
  2. Step 2: Convert to fraction form
    640.59/883.20 = 419.19/x
  3. Step 3: Cross multiply
    640.59x = 883.20 × 419.19
  4. Step 4: Simplify right side
    640.59x = 370,228.61
  5. Step 5: Solve for x
    x = 370,228.61/640.59
  6. Step 6: Final answer
    x = 577.95

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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.