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Finding the Fourth Proportional to 544.41, 815.70 and 435.06

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Solution

The fourth proportional to 544.41, 815.70 and 435.06 is: 651.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.41 : 815.70 = 435.06 : x
  2. Step 2: Convert to fraction form
    544.41/815.70 = 435.06/x
  3. Step 3: Cross multiply
    544.41x = 815.70 × 435.06
  4. Step 4: Simplify right side
    544.41x = 354,878.44
  5. Step 5: Solve for x
    x = 354,878.44/544.41
  6. Step 6: Final answer
    x = 651.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.