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Finding the Fourth Proportional to 544.06, 750.82 and 412.84

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Solution

The fourth proportional to 544.06, 750.82 and 412.84 is: 569.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.06 : 750.82 = 412.84 : x
  2. Step 2: Convert to fraction form
    544.06/750.82 = 412.84/x
  3. Step 3: Cross multiply
    544.06x = 750.82 × 412.84
  4. Step 4: Simplify right side
    544.06x = 309,968.53
  5. Step 5: Solve for x
    x = 309,968.53/544.06
  6. Step 6: Final answer
    x = 569.73

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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.