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Finding the Fourth Proportional to 440.25, 659.72 and 401.35

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Solution

The fourth proportional to 440.25, 659.72 and 401.35 is: 601.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.25 : 659.72 = 401.35 : x
  2. Step 2: Convert to fraction form
    440.25/659.72 = 401.35/x
  3. Step 3: Cross multiply
    440.25x = 659.72 × 401.35
  4. Step 4: Simplify right side
    440.25x = 264,782.10
  5. Step 5: Solve for x
    x = 264,782.10/440.25
  6. Step 6: Final answer
    x = 601.43

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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.