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Finding the Fourth Proportional to 440.85, 661.05 and 258.30

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Solution

The fourth proportional to 440.85, 661.05 and 258.30 is: 387.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.85 : 661.05 = 258.30 : x
  2. Step 2: Convert to fraction form
    440.85/661.05 = 258.30/x
  3. Step 3: Cross multiply
    440.85x = 661.05 × 258.30
  4. Step 4: Simplify right side
    440.85x = 170,749.22
  5. Step 5: Solve for x
    x = 170,749.22/440.85
  6. Step 6: Final answer
    x = 387.32

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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.