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Finding the Fourth Proportional to 544.40, 749.04 and 456.56

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Solution

The fourth proportional to 544.40, 749.04 and 456.56 is: 628.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.40 : 749.04 = 456.56 : x
  2. Step 2: Convert to fraction form
    544.40/749.04 = 456.56/x
  3. Step 3: Cross multiply
    544.40x = 749.04 × 456.56
  4. Step 4: Simplify right side
    544.40x = 341,981.70
  5. Step 5: Solve for x
    x = 341,981.70/544.40
  6. Step 6: Final answer
    x = 628.18

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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.