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Finding the Fourth Proportional to 541.81, 813.01 and 253.24

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Solution

The fourth proportional to 541.81, 813.01 and 253.24 is: 380.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.81 : 813.01 = 253.24 : x
  2. Step 2: Convert to fraction form
    541.81/813.01 = 253.24/x
  3. Step 3: Cross multiply
    541.81x = 813.01 × 253.24
  4. Step 4: Simplify right side
    541.81x = 205,886.65
  5. Step 5: Solve for x
    x = 205,886.65/541.81
  6. Step 6: Final answer
    x = 380.00

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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.