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Finding the Fourth Proportional to 440.77, 607.32 and 361.82

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Solution

The fourth proportional to 440.77, 607.32 and 361.82 is: 498.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.77 : 607.32 = 361.82 : x
  2. Step 2: Convert to fraction form
    440.77/607.32 = 361.82/x
  3. Step 3: Cross multiply
    440.77x = 607.32 × 361.82
  4. Step 4: Simplify right side
    440.77x = 219,740.52
  5. Step 5: Solve for x
    x = 219,740.52/440.77
  6. Step 6: Final answer
    x = 498.54

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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.