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Finding the Fourth Proportional to 543.06, 815.13 and 311.94

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Solution

The fourth proportional to 543.06, 815.13 and 311.94 is: 468.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.06 : 815.13 = 311.94 : x
  2. Step 2: Convert to fraction form
    543.06/815.13 = 311.94/x
  3. Step 3: Cross multiply
    543.06x = 815.13 × 311.94
  4. Step 4: Simplify right side
    543.06x = 254,271.65
  5. Step 5: Solve for x
    x = 254,271.65/543.06
  6. Step 6: Final answer
    x = 468.22

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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.