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Finding the Fourth Proportional to 544.39, 750.75 and 419.86

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Solution

The fourth proportional to 544.39, 750.75 and 419.86 is: 579.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.39 : 750.75 = 419.86 : x
  2. Step 2: Convert to fraction form
    544.39/750.75 = 419.86/x
  3. Step 3: Cross multiply
    544.39x = 750.75 × 419.86
  4. Step 4: Simplify right side
    544.39x = 315,206.14
  5. Step 5: Solve for x
    x = 315,206.14/544.39
  6. Step 6: Final answer
    x = 579.01

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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.