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Finding the Fourth Proportional to 362.58, 544.44 and 265.74

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Solution

The fourth proportional to 362.58, 544.44 and 265.74 is: 399.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.58 : 544.44 = 265.74 : x
  2. Step 2: Convert to fraction form
    362.58/544.44 = 265.74/x
  3. Step 3: Cross multiply
    362.58x = 544.44 × 265.74
  4. Step 4: Simplify right side
    362.58x = 144,679.49
  5. Step 5: Solve for x
    x = 144,679.49/362.58
  6. Step 6: Final answer
    x = 399.03

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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.