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Finding the Fourth Proportional to 361.46, 540.93 and 295.70

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Solution

The fourth proportional to 361.46, 540.93 and 295.70 is: 442.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.46 : 540.93 = 295.70 : x
  2. Step 2: Convert to fraction form
    361.46/540.93 = 295.70/x
  3. Step 3: Cross multiply
    361.46x = 540.93 × 295.70
  4. Step 4: Simplify right side
    361.46x = 159,953.00
  5. Step 5: Solve for x
    x = 159,953.00/361.46
  6. Step 6: Final answer
    x = 442.52

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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.