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Finding the Fourth Proportional to 541.77, 813.02 and 233.93

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Solution

The fourth proportional to 541.77, 813.02 and 233.93 is: 351.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.77 : 813.02 = 233.93 : x
  2. Step 2: Convert to fraction form
    541.77/813.02 = 233.93/x
  3. Step 3: Cross multiply
    541.77x = 813.02 × 233.93
  4. Step 4: Simplify right side
    541.77x = 190,184.53
  5. Step 5: Solve for x
    x = 190,184.53/541.77
  6. Step 6: Final answer
    x = 351.04

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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.