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Finding the Fourth Proportional to 360.77, 541.39 and 207.00

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Solution

The fourth proportional to 360.77, 541.39 and 207.00 is: 310.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.77 : 541.39 = 207.00 : x
  2. Step 2: Convert to fraction form
    360.77/541.39 = 207.00/x
  3. Step 3: Cross multiply
    360.77x = 541.39 × 207.00
  4. Step 4: Simplify right side
    360.77x = 112,066.51
  5. Step 5: Solve for x
    x = 112,066.51/360.77
  6. Step 6: Final answer
    x = 310.63

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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.