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Finding the Fourth Proportional to 440.19, 659.14 and 371.54

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Solution

The fourth proportional to 440.19, 659.14 and 371.54 is: 556.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.19 : 659.14 = 371.54 : x
  2. Step 2: Convert to fraction form
    440.19/659.14 = 371.54/x
  3. Step 3: Cross multiply
    440.19x = 659.14 × 371.54
  4. Step 4: Simplify right side
    440.19x = 244,897.59
  5. Step 5: Solve for x
    x = 244,897.59/440.19
  6. Step 6: Final answer
    x = 556.35

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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.