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Finding the Fourth Proportional to 555.94, 832.37 and 361.16

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Solution

The fourth proportional to 555.94, 832.37 and 361.16 is: 540.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.94 : 832.37 = 361.16 : x
  2. Step 2: Convert to fraction form
    555.94/832.37 = 361.16/x
  3. Step 3: Cross multiply
    555.94x = 832.37 × 361.16
  4. Step 4: Simplify right side
    555.94x = 300,619.02
  5. Step 5: Solve for x
    x = 300,619.02/555.94
  6. Step 6: Final answer
    x = 540.74

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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.