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Finding the Fourth Proportional to 544.21, 749.13 and 526.43

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Solution

The fourth proportional to 544.21, 749.13 and 526.43 is: 724.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.21 : 749.13 = 526.43 : x
  2. Step 2: Convert to fraction form
    544.21/749.13 = 526.43/x
  3. Step 3: Cross multiply
    544.21x = 749.13 × 526.43
  4. Step 4: Simplify right side
    544.21x = 394,364.51
  5. Step 5: Solve for x
    x = 394,364.51/544.21
  6. Step 6: Final answer
    x = 724.66

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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.