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Finding the Fourth Proportional to 440.88, 656.92 and 412.93

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Solution

The fourth proportional to 440.88, 656.92 and 412.93 is: 615.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.88 : 656.92 = 412.93 : x
  2. Step 2: Convert to fraction form
    440.88/656.92 = 412.93/x
  3. Step 3: Cross multiply
    440.88x = 656.92 × 412.93
  4. Step 4: Simplify right side
    440.88x = 271,261.98
  5. Step 5: Solve for x
    x = 271,261.98/440.88
  6. Step 6: Final answer
    x = 615.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.