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Finding the Fourth Proportional to 440.96, 607.80 and 405.20

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Solution

The fourth proportional to 440.96, 607.80 and 405.20 is: 558.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.96 : 607.80 = 405.20 : x
  2. Step 2: Convert to fraction form
    440.96/607.80 = 405.20/x
  3. Step 3: Cross multiply
    440.96x = 607.80 × 405.20
  4. Step 4: Simplify right side
    440.96x = 246,280.56
  5. Step 5: Solve for x
    x = 246,280.56/440.96
  6. Step 6: Final answer
    x = 558.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.