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Finding the Fourth Proportional to 361.44, 497.64 and 312.24

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Solution

The fourth proportional to 361.44, 497.64 and 312.24 is: 429.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.44 : 497.64 = 312.24 : x
  2. Step 2: Convert to fraction form
    361.44/497.64 = 312.24/x
  3. Step 3: Cross multiply
    361.44x = 497.64 × 312.24
  4. Step 4: Simplify right side
    361.44x = 155,383.11
  5. Step 5: Solve for x
    x = 155,383.11/361.44
  6. Step 6: Final answer
    x = 429.90

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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.