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Finding the Fourth Proportional to 440.10, 661.16 and 310.40

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Solution

The fourth proportional to 440.10, 661.16 and 310.40 is: 466.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.10 : 661.16 = 310.40 : x
  2. Step 2: Convert to fraction form
    440.10/661.16 = 310.40/x
  3. Step 3: Cross multiply
    440.10x = 661.16 × 310.40
  4. Step 4: Simplify right side
    440.10x = 205,224.01
  5. Step 5: Solve for x
    x = 205,224.01/440.10
  6. Step 6: Final answer
    x = 466.31

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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.