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Finding the Fourth Proportional to 542.10, 813.66 and 298.29

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Solution

The fourth proportional to 542.10, 813.66 and 298.29 is: 447.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.10 : 813.66 = 298.29 : x
  2. Step 2: Convert to fraction form
    542.10/813.66 = 298.29/x
  3. Step 3: Cross multiply
    542.10x = 813.66 × 298.29
  4. Step 4: Simplify right side
    542.10x = 242,706.64
  5. Step 5: Solve for x
    x = 242,706.64/542.10
  6. Step 6: Final answer
    x = 447.72

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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.