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Finding the Fourth Proportional to 541.51, 813.31 and 337.50

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Solution

The fourth proportional to 541.51, 813.31 and 337.50 is: 506.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.51 : 813.31 = 337.50 : x
  2. Step 2: Convert to fraction form
    541.51/813.31 = 337.50/x
  3. Step 3: Cross multiply
    541.51x = 813.31 × 337.50
  4. Step 4: Simplify right side
    541.51x = 274,491.28
  5. Step 5: Solve for x
    x = 274,491.28/541.51
  6. Step 6: Final answer
    x = 506.90

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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.