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Finding the Fourth Proportional to 541.29, 811.84 and 176.02

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Solution

The fourth proportional to 541.29, 811.84 and 176.02 is: 264.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.29 : 811.84 = 176.02 : x
  2. Step 2: Convert to fraction form
    541.29/811.84 = 176.02/x
  3. Step 3: Cross multiply
    541.29x = 811.84 × 176.02
  4. Step 4: Simplify right side
    541.29x = 142,900.08
  5. Step 5: Solve for x
    x = 142,900.08/541.29
  6. Step 6: Final answer
    x = 264.00

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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.